Publications: Carl M Bender

← Back to Author Profile

  • Affiliation: Professor of Physics, Washington University in St. Louis
  • Google Scholar ID: eYVXgAoAAAAJ
  • Total Publications: 369

Download CSV for Carl M Bender

Title Year Citations Score
Advanced mathematical methods for scientists and engineers I: Asymptotic methods and perturbation theory
Springer Science & Business Media, 2013
View Details
2013 10570 99.9%
Advanced mathematical methods for scientists and engineers I: Asymptotic methods and perturbation theory
Springer Science & Business Media, 2013
View Details
2013 10058 99.9%
Real spectra in non-Hermitian Hamiltonians having P T symmetry
Physical review letters 80 (24), 5243, 1998
View Details
1998 7532 99.8%
Making sense of non-Hermitian Hamiltonians
Reports on Progress in Physics 70 (6), 947, 2007
View Details
2007 3564 99.6%
Parity–time-symmetric whispering-gallery microcavities
Nature Physics 10 (5), 394-398, 2014
View Details
2014 2630 99.6%
Anharmonic oscillator
Physical Review 184 (5), 1231, 1969
View Details
1969 1475 99.1%
Complex extension of quantum mechanics
Physical review letters 89 (27), 270401, 2002
View Details
2002 2221 98.9%
Complex extension of quantum mechanics
Physical Review Letters 89 (27), 270401, 2002
View Details
2002 2047 98.8%
Loss-induced suppression and revival of lasing
Science 346 (6207), 328-332, 2014
View Details
2014 1081 98.7%
𝓟𝓣-symmetric quantum mechanics
Journal of Mathematical Physics 40 (5), 2201-2229, 1999
View Details
1999 1805 98.7%
PT symmetry: In quantum and classical physics
View Details
2019 462 97.8%
Anharmonic oscillator. II. A study of perturbation theory in large order
Physical Review D 7 (6), 1620, 1973
View Details
1973 830 97.5%
Introduction to 𝒫𝒯-symmetric quantum theory
Contemporary physics 46 (4), 277-292, 2005
View Details
2005 608 95.4%
Observation of PT phase transition in a simple mechanical system
American Journal of Physics 81 (3), 173-179, 2013
View Details
2013 391 94.6%
Large-order behavior of perturbation theory
Physical Review Letters 27 (7), 461, 1971
View Details
1971 348 94.4%
Coupled anharmonic oscillators. I. Equal-mass case
Physical Review D 8 (10), 3346, 1973
View Details
1973 364 94.2%
Faster than Hermitian quantum mechanics
Physical Review Letters 98 (4), 040403, 2007
View Details
2007 474 93.9%
Must a hamiltonian be hermitian?
American Journal of Physics 71 (11), 1095-1102, 2003
View Details
2003 530 93.4%
No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
Physical Review Letters 100 (11), 110402, 2008
View Details
2008 427 93.4%
A new perturbative approach to nonlinear problems
Journal of mathematical Physics 30 (7), 1447-1455, 1989
View Details
1989 399 93.4%
Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction
Physical Review D 70 (2), 025001, 2004
View Details
2004 362 90.6%
Analytic structure of energy levels in a field-theory model
Physical Review Letters 21 (6), 406, 1968
View Details
1968 186 90.5%
Coupled anharmonic oscillators. ii. unequal-mass case
Physical Review D 8 (10), 3366, 1973
View Details
1973 219 90.0%
-symmetric theory
Physical Review D 106 (12), 125016, 2022
View Details
2022 48 89.9%
Hamiltonian for the zeros of the Riemann zeta function
Physical Review Letters 118 (13), 130201, 2017
View Details
2017 167 89.3%
Quasi-exactly solvable quartic potential
Journal of Physics A: Mathematical and General 31 (14), L273, 1998
View Details
1998 306 88.8%
Quantum mechanical Carnot engine
Journal of Physics A: Mathematical and General 33 (24), 4427, 2000
View Details
2000 331 88.5%
Generalized PT symmetry and real spectra
Journal of Physics A: Mathematical and General 35 (31), L467, 2002
View Details
2002 305 88.0%
Numerological analysis of the WKB approximation in large order
Physical Review D 16 (6), 1740, 1977
View Details
1977 204 87.5%
Twofold transition in -symmetric coupled oscillators
Physical Review A 88 (6), 062111, 2013
View Details
2013 181 86.5%
Complex periodic potentials with real band spectra
Physics Letters A 252 (5), 272-276, 1999
View Details
1999 248 85.5%
Scalar Casimir effect for a D-dimensional sphere
Physical Review D 50 (10), 6547, 1994
View Details
1994 215 85.4%
PET/MRI in head and neck cancer: initial experience
European journal of nuclear medicine and molecular imaging 40, 6-11, 2013
View Details
2013 167 85.3%
Advanced mathematical methods for scientists and engineers. International Series in Pure and Applied Mathematics
International series in pure and applied mathematics, 1978, 1978
View Details
1978 157 85.1%
Underdetermined Dyson-Schwinger Equations
Physical Review Letters 130 (10), 101602, 2023
View Details
2023 18 83.7%
Strong-coupling expansion in quantum field theory
Physical Review D 19 (6), 1865, 1979
View Details
1979 151 83.7%
Path integral formulation of mean-field perturbation theory
Annals of Physics 109 (1), 165-209, 1977
View Details
1977 139 82.9%
Exactly solvable -symmetric Hamiltonian having no Hermitian counterpart
Physical Review D—Particles, Fields, Gravitation, and Cosmology 78 (2), 025022, 2008
View Details
2008 178 82.8%
Quasi‐exactly solvable systems and orthogonal polynomials
Journal of Mathematical Physics 37 (1), 6-11, 1996
View Details
1996 185 82.7%
Analytic continuation of eigenvalue problems
Physics Letters A 173 (6), 442-446, 1993
View Details
1993 163 82.4%
Zero-point energy of fields in a finite volume
Physical Review D 14 (10), 2622, 1976
View Details
1976 136 82.3%
Dual PT-symmetric quantum field theories
Physics Letters B 625 (3-4), 333-340, 2005
View Details
2005 186 81.9%
Experimentally Realizable Phase Transitions in Reflectionless Quantum Scattering
Physical Review Letters 130 (25), 250404, 2023
View Details
2023 16 81.7%
Novel perturbative scheme in quantum field theory
Physical Review D 37 (6), 1472, 1988
View Details
1988 153 81.0%
Nonperturbative calculation of symmetry breaking in quantum field theory
Physical Review D 55 (6), R3255, 1997
View Details
1997 170 80.8%
Scalar quantum field theory with a complex cubic interaction
Physical review letters 93 (25), 251601, 2004
View Details
2004 174 80.2%
Logarithmic approximations to polynomial Lagrangians
Physical review letters 58 (25), 2615, 1987
View Details
1987 131 80.2%
Semiclassical perturbation theory for the hydrogen atom in a uniform magnetic field
Physical Review A 25 (3), 1305, 1982
View Details
1982 122 80.2%
Large-order perturbation theory for a non-Hermitian 𝓟𝓣-symmetric Hamiltonian
Journal of Mathematical Physics 40 (10), 4616-4621, 1999
View Details
1999 171 79.8%
PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
Physics Letters A 374 (15-16), 1616-1620, 2010
View Details
2010 144 79.6%
Consistent formulation of fermions on a Minkowski lattice
Physical review letters 51 (20), 1815, 1983
View Details
1983 113 79.1%
Solution of Schwinger-Dyson equations for PT-symmetric quantum field theory
Physical Review D 62 (8), 085001, 2000
View Details
2000 171 78.9%
Ghost busting: -symmetric interpretation of the Lee model
Physical Review D—Particles, Fields, Gravitation, and Cosmology 71 (2), 025014, 2005
View Details
2005 149 78.2%
Spontaneous symmetry breaking of (1+1)-dimensional theory in light-front field theory
Physical Review D 48 (2), 816, 1993
View Details
1993 125 78.1%
Resonance calculations for arbitrary potentials
Physical Review A 18 (5), 1816, 1978
View Details
1978 96 77.5%
Complexified dynamical systems
Journal of Physics A: Mathematical and Theoretical 40 (32), F793, 2007
View Details
2007 132 76.8%
Statistical analysis of Feynman diagrams
Physical Review Letters 37 (3), 117, 1976
View Details
1976 90 76.4%
PT-symmetric quantum theory
Journal of Physics: Conference Series 631 (1), 012002, 2015
View Details
2015 90 76.2%
Equivalence of a complex -symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly
Physical Review D—Particles, Fields, Gravitation, and Cosmology 74 (2), 025016, 2006
View Details
2006 129 75.9%
PT symmetry in quantum physics: From a mathematical curiosity to optical experiments
Europhysics News 47 (2), 17-20, 2016
View Details
2016 79 75.1%
Convergence of the optimized δ expansion for the connected vacuum amplitude: Zero dimensions
Physical Review D 49 (8), 4219, 1994
View Details
1994 109 74.2%
Multiple-scale analysis of the quantum anharmonic oscillator
Physical review letters 77 (20), 4114, 1996
View Details
1996 112 74.0%
The 𝒞 operator in 𝒫𝒯-symmetric quantum theories
Journal of Physics A: Mathematical and General 37 (43), 10139, 2004
View Details
2004 125 73.9%
-symmetric quantum field theory in dimensions
Physical Review D 98 (12), 125003, 2018
View Details
2018 61 73.7%
Non-Hermitian extension of gauge theories and implications for neutrino physics
Journal of High Energy Physics 2015 (11), 1-24, 2015
View Details
2015 80 73.5%
A new strong-coupling expansion for quantum field theory based on the Langevin equation
Nuclear Physics B 219 (1), 61-80, 1983
View Details
1983 81 73.2%
Quantum physics with non-Hermitian operators
Journal of Physics A: Mathematical and Theoretical 45 (44), 440301, 2012
View Details
2012 94 73.1%
Quantum complex hénon–heiles potentials
Physics Letters A 281 (5-6), 311-316, 2001
View Details
2001 120 72.8%
Model of supersymmetric quantum field theory with broken parity symmetry
Physical Review D 57 (6), 3595, 1998
View Details
1998 109 72.6%
Integration of operator differential equations
Physical Review D 40 (10), 3504, 1989
View Details
1989 89 72.4%
Solution of operator field equations by the method of finite elements
Physical Review Letters 50 (20), 1535, 1983
View Details
1983 74 71.6%
$\PT $ Symmetry and Renormalisation in Quantum Field Theory
arXiv preprint arXiv:2103.14864, 2021
View Details
2021 28 71.0%
Entropy and temperature of a quantum Carnot engine
Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 2002
View Details
2002 108 70.7%
Conjecture on the interlacing of zeros in complex Sturm–Liouville problems
Journal of Mathematical Physics 41 (9), 6381-6387, 2000
View Details
2000 111 70.6%
Calculation of the hidden symmetry operator in 𝒫𝒯-symmetric quantum mechanics
Journal of Physics A: Mathematical and General 36 (7), 1973, 2003
View Details
2003 106 70.4%
Advanced mathematical methods for scientists and engineers
McGraw-Hill, 1978
View Details
1978 68 70.4%
Quantum effects in classical systems having complex energy
Journal of Physics A: Mathematical and Theoretical 41 (35), 352003, 2008
View Details
2008 95 70.3%
Variational ansatz for PT-symmetric quantum mechanics
Physics Letters A 259 (3-4), 224-231, 1999
View Details
1999 98 69.8%
Multiple-scale analysis of quantum systems
Physical Review D 54 (12), 7710, 1996
View Details
1996 89 69.5%
Complex WKB analysis of energy-level degeneracies of non-HermitianHamiltonians
Journal of Physics A: Mathematical and General 34 (6), L31, 2001
View Details
2001 101 69.2%
-symmetric versus Hermitian formulations of quantum mechanics
Journal of Physics A: Mathematical and General 39 (7), 1657, 2006
View Details
2006 93 69.2%
Gauge-fixing degeneracies and confinement in non-Abelian gauge theories
Physical Review D 17 (4), 1086, 1978
View Details
1978 62 69.0%
Failure of the naïve loop expansion for the effective potential in φ4 field theory when there is “broken symmetry”
Nuclear Physics B 224 (3), 403-426, 1983
View Details
1983 64 68.8%
Coupled oscillator systems having partial symmetry
Physical Review A 91 (6), 062101, 2015
View Details
2015 66 68.8%
Generalized anharmonic oscillator
Journal of Mathematical Physics 11 (3), 796-804, 1970
View Details
1970 41 68.7%
Anharmonic Oscillator with Polynomial Self‐Interaction
Journal of mathematical physics 13 (9), 1320-1324, 1972
View Details
1972 54 68.7%
Exact solutions to operator differential equations
Physical Review D 40 (8), 2739, 1989
View Details
1989 74 68.7%
Discrete-time quantum mechanics
Physical Review D 32 (6), 1476, 1985
View Details
1985 70 68.5%
Dimensional expansion for the Ising limit of quantum field theory
Physical Review D 48 (10), 4919, 1993
View Details
1993 73 67.9%
Strong-coupling expansion for the effective potential on a lattice
Physical Review D 23 (12), 2976, 1981
View Details
1981 62 67.4%
PT-symmetric double well potentials revisited: bifurcations, stability and dynamics
arXiv preprint arXiv:1207.1066, 2012
View Details
2012 72 66.8%
Reflectionless potentials and symmetry
Journal of Physics A: Mathematical and General 38 (39), L627, 2005
View Details
2005 85 66.7%
Complex correspondence principle
Physical review letters 104 (6), 061601, 2010
View Details
2010 78 66.6%
Continuous Hahn polynomials and the Heisenberg algebra
J. Math. Phys.(NY) 28 (3), 509-513, 1987
View Details
1987 63 65.9%
Numerical evidence that the perturbation expansion for a non-Hermitian -symmetric Hamiltonian is Stieltjes
Journal of Mathematical Physics 42 (5), 2167-2183, 2001
View Details
2001 84 65.6%
Dyson-Schwinger equations in zero dimensions and polynomial approximations
Physical Review D 108 (5), 056002, 2023
View Details
2023 8 65.5%
Relativistic brachistochrone
Journal of mathematical physics 27 (2), 507-511, 1986
View Details
1986 58 65.2%
Almost zero-dimensional quantum field theories
Physical Review D 46 (12), 5557, 1992
View Details
1992 66 65.2%
Towards perturbative renormalization of quantum field theory
Physical Review D 104 (8), 085011, 2021
View Details
2021 22 64.7%
Complex square well-a new exactly solvable quantum mechanical model
Journal of Physics A: Mathematical and General 32 (39), 6771, 1999
View Details
1999 76 64.6%
Giving up the ghost
Journal of Physics A: Mathematical and Theoretical 41 (30), 304018, 2008
View Details
2008 74 64.5%
Gauge invariance and the finite-element solution of the Schwinger model
Physical Review D 31 (2), 383, 1985
View Details
1985 58 64.3%
Resolution of the operator-ordering problem by the method of finite elements
Physical review letters 56 (23), 2445, 1986
View Details
1986 55 64.1%
Effective Potential for a Renormalized d-Dimensional g ϕ 4 Field Theory in the Limit g→∞
Physical Review Letters 45 (7), 501, 1980
View Details
1980 51 64.0%
New nonperturbative calculation: Renormalization and the triviality of (λ φ 4) 4 field theory
Physical Review D 38 (8), 2526, 1988
View Details
1988 59 63.3%
Interactions of hermitian and non-hermitian hamiltonians
Journal of Physics A: Mathematical and Theoretical 41 (24), 244006, 2008
View Details
2008 69 62.8%
Peculiarities of a Free Massless Spin-3 2 Field Theory
Physical Review 148 (4), 1375, 1966
View Details
1966 30 62.8%
Systems of coupled -symmetric oscillators
Physical Review A 90 (2), 022114, 2014
View Details
2014 55 62.4%
A nonunitary version of massless quantum electrodynamics possessing a critical point
Journal of Physics A: Mathematical and General 32 (7), L87, 1999
View Details
1999 68 62.3%
Resonances in quantum mechanical tunneling
Physics Letters B 163 (5-6), 336-342, 1985
View Details
1985 52 61.9%
Classical trajectories for complex Hamiltonians
Journal of Physics A: Mathematical and General 39 (16), 4219, 2006
View Details
2006 67 61.8%
Complex trajectories of a simple pendulum
Journal of Physics A: Mathematical and Theoretical 40 (3), F81, 2006
View Details
2006 67 61.8%
Ordinary versus -symmetric quantum field theory
Physical Review D—Particles, Fields, Gravitation, and Cosmology 85 (8), 085001, 2012
View Details
2012 59 61.7%
Relativistic -symmetric fermionic theories in and dimensions
Physical Review A 99 (6), 062117, 2019
View Details
2019 32 61.4%
PT-symmetric quantum state discrimination
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2013
View Details
2013 52 60.1%
Numerical computation of the renormalized effective potential in the strong-coupling limit
Physical Review D 23 (12), 2999, 1981
View Details
1981 44 60.0%
Calculation of the one-point Green’s function for a− g φ 4 quantum field theory
Physical Review D 63 (4), 045001, 2001
View Details
2001 63 59.8%
Nonperturbative square‐well approximation to a quantum theory
Journal of Mathematical Physics 31 (11), 2579-2585, 1990
View Details
1990 48 59.3%
Semiclassical calculation of the C operator in PT-symmetric quantum mechanics
Physics Letters A 328 (2-3), 102-109, 2004
View Details
2004 63 59.3%
Calculation of the hidden symmetry operator for a-symmetric square well
Journal of Physics A: Mathematical and General 39 (8), 1945, 2006
View Details
2006 59 58.9%
A new perturbative approach to nonlinear partial differential equations
Journal of mathematical physics 32 (11), 3031-3038, 1991
View Details
1991 46 58.9%
Comment on a recent paper byMezincescu
Journal of Physics A: Mathematical and General 34 (15), 3325, 2001
View Details
2001 59 58.5%
Improvement of an extrapolation scheme for strong-coupling expansion in quantum field theory
Physical Review Letters 43 (8), 537, 1979
View Details
1979 39 58.3%
δ expansion for local gauge theories. I. A one-dimensional model
Physical Review D 45 (4), 1248, 1992
View Details
1992 47 58.2%
Polynomials and operator orderings
Journal of mathematical physics 29 (8), 1727-1731, 1988
View Details
1988 45 58.0%
Quantum field theory of partitions
Journal of Mathematical Physics 40 (7), 3239-3245, 1999
View Details
1999 54 57.5%
Bound states of non-Hermitian quantum field theories
Physics Letters A 291 (4-5), 197-202, 2001
View Details
2001 56 57.5%
PT-symmetric quantum electrodynamics
Physics Letters B 613 (1-2), 97-104, 2005
View Details
2005 55 57.4%
Eleventh-order calculation of Ising-limit Green’s functions for scalar quantum field theory in arbitrary space-time dimension D
Physical Review D 51 (4), 1875, 1995
View Details
1995 47 57.2%
Experimentally Realizable Phase Transitions in Reflectionless Quantum Scattering
Physical Review Letters 130 (25), 250404, 2023
View Details
2023 6 57.1%
Critical behavior of the -symmetric quantum field theory
Physical Review D—Particles, Fields, Gravitation, and Cosmology 87 (8), 085029, 2013
View Details
2013 46 56.9%
Determination of f(∞) from the asymptotic series for f(x) about x=0
Journal of Mathematical Physics 35 (4), 1914-1921, 1994
View Details
1994 47 56.9%
Nonunique solution to the Schwinger-Dyson equations
Physical Review D 39 (8), 2343, 1989
View Details
1989 41 56.9%
Numerical study of energy-level crossing
Physical Review D 9 (8), 2324, 1974
View Details
1974 28 56.6%
New approach to the calculation of F 1 (α) in massless quantum electrodynamics
Physical Review D 15 (6), 1572, 1977
View Details
1977 34 56.6%
Finite-dimensional 𝒫𝒯-symmetric Hamiltonians
Journal of Physics A: Mathematical and General 36 (24), 6791, 2003
View Details
2003 54 56.3%
Foldy–wouthuysen transformation for non-hermitian hamiltonians
Journal of Physics A: Mathematical and Theoretical 48 (18), 185403, 2015
View Details
2015 41 56.3%
Path-Integral Approach to the Magnetic-Impurity Problem. I
Physical Review B 4 (9), 3115, 1971
View Details
1971 25 56.0%
The operator in -symmetric quantum field theory transforms as a Lorentz scalar
Physical Review D—Particles, Fields, Gravitation, and Cosmology 71 (6), 065010, 2005
View Details
2005 51 55.7%
Dimensional expansions
Physical review letters 68 (25), 3674, 1992
View Details
1992 40 55.0%
Spontaneous breaking of classical PT symmetry
Journal of mathematical physics 48 (4), 2007
View Details
2007 49 54.9%
Light neutrino masses from a non-Hermitian Yukawa theory
Journal of Physics: Conference Series 873 (1), 012047, 2017
View Details
2017 33 54.8%
PT quantum mechanics
Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2013
View Details
2013 42 54.6%
A new perturbative approximation applied to supersymmetric quantum field theory
Physics Letters B 205 (4), 493-498, 1988
View Details
1988 38 54.6%
Families of particles with different masses in PT-symmetric quantum field theory
Physical review letters 105 (3), 031601, 2010
View Details
2010 46 54.4%
Hot δ expansion
Physical Review D 41 (10), 3269, 1990
View Details
1990 37 54.2%
All Hermitian Hamiltonians have parity
Journal of Physics A: Mathematical and General 36 (4), 1029, 2003
View Details
2003 47 53.6%
Yang
Science 346, 328, 2014
View Details
2014 38 52.8%
Random walks in noninteger dimension
Journal of Mathematical Physics 35 (1), 368-388, 1994
View Details
1994 38 52.6%
New perturbative calculation of the fermion-boson mass ratio in a supersymmetric quantum field theory
Physical Review D 38 (4), 1310, 1988
View Details
1988 33 51.8%
Asymptotic freedom and the Lee model
Physical Review D 10 (6), 1753, 1974
View Details
1974 22 51.7%
Nonunique C operator in PT quantum mechanics
Physics Letters A 373 (31), 2670-2674, 2009
View Details
2009 41 51.7%
Chaotic systems in complex phase space
Pramana 73, 453-470, 2009
View Details
2009 39 50.7%
Effective potential for a renormalized d-dimensional gphi field theory in the g --> limit
View Details
1980 25 50.6%
Production, decay, and mixing models of the iota meson
Physical Review D 30 (5), 1002, 1984
View Details
1984 27 50.6%
What is the optimal shape of a city?
Journal of Physics A: Mathematical and General 37 (1), 147, 2003
View Details
2003 40 50.6%
Continuum limit of lattice approximation schemes
Journal of Mathematical Physics 38 (7), 3700-3717, 1997
View Details
1997 36 50.3%
Exact isospectral pairs of symmetric Hamiltonians
Journal of Physics A: Mathematical and Theoretical 41 (24), 244005, 2008
View Details
2008 38 49.7%
Multilegged propagators in strong-coupling expansions
Physical Review D 20 (6), 1374, 1979
View Details
1979 25 49.5%
PT symmetry in relativistic quantum mechanics
Physical Review D—Particles, Fields, Gravitation, and Cosmology 84 (10), 105038, 2011
View Details
2011 36 49.2%
-symmetric interpretation of unstable effective potentials
Journal of Physics A: Mathematical and Theoretical 49 (45), 45LT01, 2016
View Details
2016 29 49.1%
Special issue on quantum physics with non-Hermitian operators
Journal of Physics A: Mathematical and Theoretical 45 (3), 030201, 2012
View Details
2012 35 49.0%
Free massless fields as infinite-dimensional representations of the lorentz group
Physical Review 168 (5), 1809, 1968
View Details
1968 19 48.8%
Approximate determination of the mass gap in quantum field theory using the method of finite elements
Physical Review D 34 (10), 3149, 1986
View Details
1986 25 48.6%
Probability density in the complex plane
Annals of Physics 325 (11), 2332-2362, 2010
View Details
2010 35 48.4%
Simple approach to tunneling using the method of finite elements
Physical Review D 32 (6), 1486, 1985
View Details
1985 26 48.2%
Two-point Green's function in PT-symmetric theories
Physics Letters A 302 (5-6), 286-290, 2002
View Details
2002 35 48.2%
Continuum regulation of the strong-coupling expansion for quantum field theory
Physical Review D 24 (10), 2693, 1981
View Details
1981 24 48.1%
Unusual quantum states: non–locality, entropy, Maxwell's demon and fractals
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2005
View Details
2005 34 47.6%
Semiclassical analysis of quasiexact solvability
Physical Review A 55 (4), 2625, 1997
View Details
1997 31 47.6%
Quantum tunneling as a classical anomaly
Journal of Physics A: Mathematical and Theoretical 44 (37), 372001, 2011
View Details
2011 33 47.3%
Summation of power series by continued exponentials
Journal of Mathematical Physics 37 (8), 4103-4119, 1996
View Details
1996 28 47.0%
PT phase transition in multidimensional quantum systems
arXiv preprint arXiv:1206.5100, 2012
View Details
2012 32 47.0%
Maximum entropy summation of divergent perturbation series
Journal of mathematical physics 28 (5), 1016-1018, 1987
View Details
1987 24 46.8%
Compactons in-symmetric generalized Korteweg-de Vries equations
Pramana 73 (2), 375-385, 2009
View Details
2009 32 46.7%
Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory
J. Math. Phys.(NY);(United States) 29 (12), 1988
View Details
1988 25 46.6%
PT Symmetry in Quantum Field Theory
Czechoslovak journal of physics 54, 13-28, 2004
View Details
2004 33 46.5%
On powers of Bessel functions
Journal of Mathematical Physics 44 (1), 309-314, 2003
View Details
2003 32 46.5%
Behavior of eigenvalues in a region of broken symmetry
Physical Review A 95 (5), 052113, 2017
View Details
2017 24 46.5%
New quasi-exactly solvable sextic polynomial potentials
Journal of Physics A: Mathematical and General 38 (10), 2179, 2005
View Details
2005 31 45.9%
A class of exactly-solvable eigenvalue problems
Journal of Physics A: Mathematical and General 34 (46), 9835, 2001
View Details
2001 29 45.3%
-symmetric potentials having continuous spectra
Journal of Physics A: Mathematical and Theoretical 53 (37), 375302, 2020
View Details
2020 15 45.1%
A novel approach to the solution of boundary-layer problems
Advances in Applied Mathematics 1 (1), 22-36, 1980
View Details
1980 18 44.7%
-symmetric representations of fermionic algebras
Physical Review A—Atomic, Molecular, and Optical Physics 84 (2), 024102, 2011
View Details
2011 29 44.7%
PT symmetry
Time and Science 3, 285-310, 2023
View Details
2023 4 44.5%
Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian
Journal of Physics A: Mathematical and Theoretical 51 (13), 135203, 2018
View Details
2018 20 44.2%
Continued fraction as a discrete nonlinear transform
arXiv preprint hep-th/9304052, 1993
View Details
1993 22 44.0%
Solvable model of quantum microcanonical states
Journal of Physics A: Mathematical and General 38 (38), L607, 2005
View Details
2005 28 44.0%
Functional differential equation approach to the large N expansion and mean field perturbation theory
Annals of Physics 160 (2), 323-342, 1985
View Details
1985 21 43.8%
Quantum tunneling using discrete-time operator difference equations
Physical review letters 55 (9), 901, 1985
View Details
1985 21 43.8%
Discrete time quantum mechanics
Computers & Mathematics with Applications 28 (10-12), 279-317, 1994
View Details
1994 24 43.8%
Perturbation theory in large order
Advances in Mathematics 30 (3), 250-267, 1978
View Details
1978 17 43.8%
Does Renormalized Perturbation Theory Diverge?
Physical Review Letters 24 (12), 681, 1970
View Details
1970 12 43.7%
Does the complex deformation of the Riemann equation exhibit shocks?
Journal of Physics A: Mathematical and Theoretical 41 (24), 244004, 2008
View Details
2008 28 43.7%
Conjecture on the analyticity of-symmetric potentials and the reality of their spectra
Journal of Physics A: Mathematical and Theoretical 41 (39), 392005, 2008
View Details
2008 28 43.7%
Optimal time evolution for Hermitian and non-Hermitian Hamiltonians
Time in Quantum Mechanics-Vol. 2, 341-361, 2009
View Details
2009 27 43.4%
The complex pendulum
Physics Reports 315 (1-3), 27-40, 1999
View Details
1999 25 43.0%
Spherically symmetric random walks in noninteger dimension
Journal of Mathematical Physics 35 (9), 4941-4963, 1994
View Details
1994 23 42.9%
Infinite Class of -Symmetric Theories from One Timelike Liouville Lagrangian
Physical review letters 113 (23), 231605, 2014
View Details
2014 25 42.9%
The δ expansion for stochastic quantization
Physical Review D 39 (12), 3684, 1989
View Details
1989 20 42.6%
Unbounded C-symmetries and their nonuniqueness
arXiv preprint arXiv:1207.1176, 2012
View Details
2012 26 42.3%
Resonances in extreme mass-ratio inspirals: Asymptotic and hyperasymptotic analysis
Journal of mathematical physics 53 (3), 2012
View Details
2012 26 42.3%
Double-scaling limit of a broken symmetry quantum field theory in dimensions
Journal of Mathematical Physics 42 (5), 1960-1973, 2001
View Details
2001 24 42.0%
Painlevé transcendents and PT-symmetric Hamiltonians
arXiv preprint arXiv:1502.04089, 2015
View Details
2015 23 41.8%
Periodic orbits for classical particles having complex energy
Physics Letters A 375 (39), 3399-3404, 2011
View Details
2011 25 41.6%
Perturbation theory in large order for some elementary systems
International Journal of Quantum Chemistry 21 (1), 93-104, 1982
View Details
1982 17 41.5%
Conduction bands in classical periodic potentials
Pramana 73, 259-267, 2009
View Details
2009 24 41.2%
Convergent and divergent series in physics
arXiv preprint arXiv:1703.05164, 2017
View Details
2017 19 40.7%
Exact operator solutions to Euler hamiltonians
Physics Letters B 200 (4), 520-524, 1988
View Details
1988 18 40.6%
Numerical study of truncated Green's-function equations
Physical Review D 14 (10), 2590, 1976
View Details
1976 14 40.3%
Comment on “On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator”[J. Math. Phys. 48, 032701 (2007)]
Journal of Mathematical Physics 57 (8), 2016
View Details
2016 20 40.0%
Classical particle in a complex elliptic potential
Journal of Physics A: Mathematical and Theoretical 43 (16), 165201, 2010
View Details
2010 23 40.0%
Asymptotic analysis of the Boltzmann equation for dark matter relics
Journal of mathematical physics 53 (10), 2012
View Details
2012 23 39.8%
Calculating the C Operator in PT-symmetric Quantum Mechanics
Czechoslovak journal of physics 54, 1027-1038, 2004
View Details
2004 22 39.7%
Asymptotic expansion of integrals
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 20 39.2%
Matrix methods in discrete-time quantum mechanics
Physical Review D 33 (8), 2362, 1986
View Details
1986 15 39.2%
δ expansion for a quantum field theory in the nonperturbative regime
Journal of mathematical physics 31 (11), 2722-2725, 1990
View Details
1990 16 38.8%
Asymptotic graph counting techniques in ψ2N field theory
Journal of Mathematical Physics 19 (12), 2579-2586, 1978
View Details
1978 13 38.6%
Strong coupling expansion for classical statistical dynamics
Journal of Statistical Physics 22, 647-660, 1980
View Details
1980 13 38.4%
Accurate determination of spectra in discrete-time quantum mechanics
Physical Review D 34 (10), 3255, 1986
View Details
1986 14 38.0%
New test for spontaneous breakdown of supersymmetry
Physical Review D 28 (6), 1473, 1983
View Details
1983 13 37.5%
Covariant Energy Density in Free Massless Field Theory
Physical Review D 1 (8), 2335, 1970
View Details
1970 9 37.3%
Combinatorics and field theory
arXiv preprint quant-ph/0604164, 2006
View Details
2006 19 37.3%
Universality in random-walk models with birth and death
Physical review letters 75 (18), 3210, 1995
View Details
1995 16 37.2%
Solution of a general one-turning-point Schrödinger equation using lattice extrapolation techniques
Physical Review D 24 (6), 1691, 1981
View Details
1981 13 37.1%
Theories of permanently bound quarks
Physical Review D 11 (2), 409, 1975
View Details
1975 11 36.4%
Higher-order terms in the strong-coupling expansion for the renormalized effective potential
Physical Review D 24 (10), 2683, 1981
View Details
1981 12 35.9%
-symmetric interpretation of double-scaling
Journal of Physics A: Mathematical and Theoretical 46 (10), 102002, 2013
View Details
2013 18 35.6%
Nonlinear eigenvalue problems for generalized Painlevé equations
Journal of Physics A: Mathematical and Theoretical 52 (31), 315202, 2019
View Details
2019 12 35.5%
Discrete-time quantum mechanics. II. Systems with several degrees of freedom
Physical Review D 33 (6), 1692, 1986
View Details
1986 12 35.4%
Analytic structure of eigenvalues of coupled quantum systems
Physica Scripta 92 (1), 015201, 2016
View Details
2016 16 35.3%
Spherically symmetric random walks. I. Representation in terms of orthogonal polynomials
Physical Review E 54 (1), 100, 1996
View Details
1996 14 35.2%
Negative-energy -symmetric Hamiltonians
Journal of Physics A: Mathematical and Theoretical 45 (44), 444003, 2012
View Details
2012 18 35.1%
Semiclassical analysis of a complex quartic Hamiltonian
Physical Review D—Particles, Fields, Gravitation, and Cosmology 73 (2), 025002, 2006
View Details
2006 16 34.6%
Solitary Waves of a-Symmetric Nonlinear Dirac Equation
IEEE Journal of Selected Topics in Quantum Electronics 22 (5), 67-75, 2015
View Details
2015 16 34.1%
δ expansion applied to quantum electrodynamics
Physical Review D 45 (2), 639, 1992
View Details
1992 13 34.0%
Winding in non-Hermitian systems
Journal of Physics A: Mathematical and Theoretical 51 (5), 055201, 2017
View Details
2017 14 34.0%
WKB calculation of quantum adiabatic phases and nonadiabatic corrections
Journal de Physique 49 (4), 561-566, 1988
View Details
1988 12 33.7%
Finite element approximation in quantum field theory
Nuclear Physics B 207 (1), 54-76, 1982
View Details
1982 11 33.7%
Complex extension of quantum mechanics
Proceedings of Institute of Mathematics of NAS of Ukraine 50 (Part 2), 617-628, 2004
View Details
2004 15 33.5%
Extending Symmetry from Heisenberg Algebra to E2 Algebra
International Journal of Theoretical Physics 50 (4), 955-962, 2011
View Details
2011 16 33.5%
Strong-coupling expansion for the ground-state energy in the| x| α potential
Physical Review D 24 (10), 2674, 1981
View Details
1981 10 32.9%
δ expansion for local gauge theories. ii. Nonperturbative calculation of the anomaly in the Schwinger model
Physical Review D 45 (4), 1261, 1992
View Details
1992 12 32.8%
Rigorous backbone of -symmetric quantum mechanics
Journal of Physics A: Mathematical and Theoretical 49 (40), 401002, 2016
View Details
2016 14 32.6%
D-dimensional moments of inertia
American Journal of Physics 63 (11), 1011-1014, 1995
View Details
1995 12 32.4%
Boundary-layer theory, strong-coupling series, and large-order behavior
Journal of Mathematical Physics 43 (8), 4202-4220, 2002
View Details
2002 13 32.0%
Lorentz Transformation Laws of Interacting Radiation-Gauge Fields
Physical Review D 2 (2), 317, 1970
View Details
1970 7 31.9%
The rotating oscillator
Journal of Physics A: Mathematical and General 20 (5), 1285, 1987
View Details
1987 10 31.9%
WKB analysis of -symmetric Sturm–Liouville problems
Journal of Physics A: Mathematical and Theoretical 45 (44), 444004, 2012
View Details
2012 15 31.9%
Permanently Bound Quarks-New Solutions to Old Field Equations
Physical Review Letters 32 (25), 1467, 1974
View Details
1974 8 31.7%
The δ expansion and local gauge invariance
Physical Review D 40 (4), 1354, 1989
View Details
1989 11 31.7%
Taylor series and δ‐perturbation expansions for a nonlinear semiconductor transport equation
Journal of mathematical physics 33 (4), 1335-1340, 1992
View Details
1992 11 31.2%
Underdetermined systems of partial differential equations
Journal of Mathematical Physics 41 (9), 6388, 2000
View Details
2000 12 30.8%
Non-Hermitian quantum field theory
International Journal of Modern Physics A 20 (19), 4646-4652, 2005
View Details
2005 12 30.5%
Solution of operator equations of motion
Rigorous Results in Quantum Dynamics, World Scientific, Singapore, 99-112, 1991
View Details
1991 10 30.0%
Novel perturbation expansion for the Langevin equation
Journal of statistical physics 64, 395-428, 1991
View Details
1991 10 30.0%
Small-ϵ behavior of the non-Hermitian-symmetric Hamiltonian H= p2+ x2 (ix) ϵ
Journal of Physics A: Mathematical and Theoretical 42 (35), 355301, 2009
View Details
2009 12 29.9%
Double-scaling limit of the O (N)-symmetric anharmonic oscillator
Journal of Physics A: Mathematical and Theoretical 46 (44), 442001, 2013
View Details
2013 13 29.8%
Inverse of a Vandermonde matrix
preprint, 2002
View Details
2002 11 29.6%
Effective Potential for-Symmetric Quantum Field Theories
Foundations of Physics 30 (3), 393-411, 2000
View Details
2000 11 29.4%
Continuum limit of supersymmetric field theories on a lattice
Physical Review Letters 50 (6), 397, 1983
View Details
1983 8 29.0%
Tunneling and the validity of the low-momentum expansion of the effective action
Nuclear Physics B 256, 653-669, 1985
View Details
1985 9 28.9%
Asymptotic analysis of the local potential approximation to the Wetterich equation
Journal of Physics A: Mathematical and Theoretical 51 (22), 225202, 2018
View Details
2018 10 28.8%
Dimensional expansion for the delta-function potential
European journal of physics 20 (2), 117, 1999
View Details
1999 10 28.4%
Discrete time quantum mechanics
arXiv preprint hep-ph/9305246, 1993
View Details
1993 9 28.3%
Two- and four-dimensional representations of the - and -symmetric fermionic algebras
Physical Review A 97 (3), 032128, 2018
View Details
2018 9 27.0%
Making sense of the divergent series for reconstructing a Hamiltonian from its eigenstates and eigenvalues
American journal of physics 88 (2), 148-152, 2020
View Details
2020 7 26.6%
-symmetric quantum field theory
Journal of Physics: Conference Series 1586 (1), 012004, 2020
View Details
2020 7 26.6%
PT-symmetric model of immune response
arXiv preprint arXiv:1604.03928, 2016
View Details
2016 10 26.5%
Nonlinear eigenvalue problems
Journal of Physics A: Mathematical and Theoretical 47 (23), 235204, 2014
View Details
2014 10 25.8%
Wentzel-Kramers-Brillouin analysis of -symmetric Sturm-Liouville problems
Physical Review A—Atomic, Molecular, and Optical Physics 85 (5), 052118, 2012
View Details
2012 10 25.8%
Complex trajectories in a classical periodic potential
Journal of Physics A: Mathematical and Theoretical 45 (45), 455101, 2012
View Details
2012 10 25.8%
New classes of solutions for Euclidean scalar field theories
Universe 10 (2), 72, 2024
View Details
2024 2 25.7%
Discrete-time quantum mechanics. III. Spin systems
Physical Review D 35 (10), 3081, 1987
View Details
1987 7 25.5%
Perturbation series
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 8 25.2%
Operator-valued zeta functions and Fourier analysis
Journal of Physics A: Mathematical and Theoretical 52 (34), 345201, 2019
View Details
2019 7 24.7%
Nonlinear integral-equation formulation of orthogonal polynomials
Journal of Physics A: Mathematical and Theoretical 40 (1), F9, 2006
View Details
2006 8 24.6%
-symmetric interpretation of the electromagnetic self-force
Journal of Physics A: Mathematical and Theoretical 48 (34), 34FT01, 2015
View Details
2015 9 24.3%
Nonuniqueness of the C operator in PT-symmetric quantum mechanics
arXiv preprint arXiv:1302.7047, 2013
View Details
2013 9 24.2%
Matrix representation of the time operator
Journal of mathematical physics 53 (6), 2012
View Details
2012 9 24.2%
Nonlinear eigenvalue problems and PT-symmetric quantum mechanics
Journal of Physics: Conference Series 873 (1), 012002, 2017
View Details
2017 8 23.9%
Comment on'Comment on" Hamiltonian for the zeros of the Riemann zeta function"'
arXiv preprint arXiv:1705.06767, 2017
View Details
2017 8 23.9%
Faster than Hermitian time evolution
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3, 126, 2007
View Details
2007 8 23.7%
Four easy pieces
Journal of Physics A: Mathematical and General 39 (32), 9993, 2006
View Details
2006 7 22.8%
Universal spectral behavior of potentials
Physical Review A—Atomic, Molecular, and Optical Physics 86 (2), 022113, 2012
View Details
2012 8 22.6%
Calculation of low-lying energy levels in quantum mechanics
Journal of Physics A: Mathematical and Theoretical 47 (39), 395303, 2014
View Details
2014 8 22.5%
Nonlinear-integral-equation construction of orthogonal polynomials
Journal of Nonlinear Mathematical Physics 15 (sup3), 73-80, 2008
View Details
2008 7 22.1%
Two-dimensional pulse propagation without anomalous dispersion
Physical Review Letters 119 (11), 114301, 2017
View Details
2017 7 21.8%
High-order strong-coupling calculation of the ground-state energy density in supersymmetric field theory
Physical review letters 54 (23), 2481, 1985
View Details
1985 6 21.8%
Meson decay in a theory of bound quarks
Physical Review D 11 (2), 438, 1975
View Details
1975 5 21.5%
Properties of non-Hermitian quantum field theories
Annales de l'institut Fourier 53 (4), 997-1008, 2003
View Details
2003 6 21.3%
Multiple-scale analysis
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 6 20.9%
Scattering off -symmetric upside-down potentials
Physical Review A 98 (5), 052118, 2018
View Details
2018 6 20.4%
Series solutions of PT-symmetric Schrödinger equations
Journal of Physics Communications 2 (2), 2018
View Details
2018 6 20.4%
Large-order behavior of lattice strong-coupling expansions
Physical Review D 28 (4), 936, 1983
View Details
1983 5 20.4%
Complex elliptic pendulum
Asymptotics in Dynamics, Geometry and PDEs; Generalized Borel Summation vol …, 2009
View Details
2009 6 20.3%
Strong-coupling approximation in supersymmetric field theory
Physics Letters B 134 (3-4), 225-229, 1984
View Details
1984 5 19.9%
Effect of renormalization on the large-order behavior of weak-and strong-coupling perturbation theory
Physical Review D 25 (2), 427, 1982
View Details
1982 5 19.5%
Quantum counterpart of spontaneously broken classical symmetry
Journal of Physics A: Mathematical and Theoretical 44 (1), 015301, 2010
View Details
2010 6 19.4%
Complex classical motion in potentials with poles and turning points
Studies in Applied Mathematics 133 (3), 318-336, 2014
View Details
2014 6 18.7%
Self-consistent binding force between quarks in one dimension
Physical Review D 11 (2), 429, 1975
View Details
1975 4 17.7%
Comment on ‘Numerical estimates of the spectrum for anharmonic PT symmetric potentials’
Physica Scripta 87 (1), 017001, 2012
View Details
2012 5 16.7%
Asymptotic analysis of the Boltzmann equation for dark matter relics in the presence<? format?> of a running dilaton and space-time defects
Physical Review D—Particles, Fields, Gravitation, and Cosmology 87 (5), 055021, 2013
View Details
2013 5 16.6%
Covariant Derivatives of Infinite‐Dimensional Fields
Journal of Mathematical Physics 12 (10), 2151-2156, 1971
View Details
1971 4 16.6%
Wilson polynomials and the Lorentz transformation properties of the parity operator
Journal of mathematical physics 46 (5), 2005
View Details
2005 4 15.7%
New approach to the solution of nonlinear problems
Large Scale Structures in Nonlinear Physics: Proceedings of a Workshop Held …, 2005
View Details
2005 4 15.7%
S. ddBoettcher and PN Meisinger
J. Math. Phys 40, 2201-2229, 1999
View Details
1999 4 15.3%
Comment on “New ansatz for metric operator calculation in pseudo-Hermitian field theory”
Physical Review D—Particles, Fields, Gravitation, and Cosmology 80 (12), 128701, 2009
View Details
2009 4 15.2%
Comment on the quantum brachistochrone problem
arXiv preprint arXiv:0804.3487, 2008
View Details
2008 4 14.9%
Nonperturbative perturbation theory
Nuclear Physics B-Proceedings Supplements 11, 316-324, 1989
View Details
1989 4 14.9%
Bound states of -symmetric separable potentials
Physical Review A—Atomic, Molecular, and Optical Physics 84 (3), 032103, 2011
View Details
2011 4 14.5%
Publisher’s Note: PT symmetry in relativistic quantum mechanics<? format?>[Phys. Rev. D 84, 105038 (2011)]
Physical Review D—Particles, Fields, Gravitation, and Cosmology 84 (12), 129902, 2011
View Details
2011 4 14.5%
Tritium and plutonium production as a step toward ICF commercialization
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States), 1983
View Details
1983 3 12.8%
WKB approximation for quantum theory on a lattice
Physical Review D 20 (10), 2583, 1979
View Details
1979 3 12.5%
Problems with continuum regulation of strong-coupling expansions
Phys. Lett., B 109 (1/2), 63-66, 1982
View Details
1982 3 12.2%
Conjecture on the Reality of Spectra of Non-Hermitian Hamiltonians
Fluctuating Paths And Fields: Festschrift Dedicated to Hagen Kleinert on the …, 2001
View Details
2001 3 12.1%
Parity anomaly in a-symmetric quartic Hamiltonian
Czechoslovak Journal of Physics 56 (9), 1047-1062, 2006
View Details
2006 3 12.0%
Ghost busting: Making sense of non-Hermitian Hamiltonians
Czechoslovak Journal of Physics 55 (9), 1067-1074, 2005
View Details
2005 3 12.0%
Quantum mechanical tunneling from the false vacuum: It is not as simple as you think
Phys. Lett. B, 1985
View Details
1985 3 12.0%
Eigenvalue integrodifferential equations for orthogonal polynomials on the real line
Journal of Mathematical Physics 36 (6), 3106-3125, 1995
View Details
1995 3 11.8%
Derivative expansions for affinely quantized field theories
Physical Review D 41 (2), 455, 1990
View Details
1990 3 11.6%
Anharmonic oscillator. II. A study of perturbation theory in large order
Current Physics–Sources and Comments 7, 41-57, 1990
View Details
1990 3 11.6%
Summation of series
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 3 11.5%
WKB Theory
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 3 11.5%
Ghost busting: Making sense of non-Hermitian Hamiltonians
Algebraic Analysis of Differential Equations: from Microlocal Analysis to …, 2008
View Details
2008 3 11.5%
Geometry of PT-symmetric quantum mechanics
arXiv preprint arXiv:0704.2959, 2007
View Details
2007 3 11.4%
PT quantum mechanics - Recent results
AIP Conference Proceedings 1479 (1), 517-521, 2012
View Details
2012 3 10.8%
Upside-down potentials
Journal of Physics: Conference Series 343 (1), 012014, 2012
View Details
2012 3 10.8%
Infinitely many inequivalent field theories from one Lagrangian
arXiv preprint arXiv:1408.2432, 2014
View Details
2014 3 10.7%
-symmetric classical mechanics
arXiv preprint arXiv:2103.04214, 2021
View Details
2021 2 8.2%
On higher order computations in strong coupling
Pramana 23, 695-701, 1984
View Details
1984 2 7.6%
Tight upper and lower bounds on perturbation coefficients for anharmonic oscillators
Physical Review D 19 (12), 3808, 1979
View Details
1979 2 7.1%
Discrete-time quantum mechanics; 3, spin systems
PRE-29705, 1986
View Details
1986 2 6.9%
Spherically symmetric random walks. II. Dimensionally dependent critical behavior
Physical Review E 54 (1), 112, 1996
View Details
1996 2 6.9%
Spherically symmetric random walks. III. Polymer adsorption at a hyperspherical boundary
Physical Review E 54 (1), 127, 1996
View Details
1996 2 6.9%
Small-∈ behavior of the non-Hermitian PT-symmetric Hamiltonian H= p2+ x2 (ix)∈
Journal of physics. A, Mathematical and theoretical (Print) 42 (35), 2009
View Details
2009 2 6.8%
Nonperturbative perturbation theory
View Details
1987 2 6.8%
PT‐Symmetric Quantum Field Theory
AIP Conference Proceedings 1389 (1), 642-645, 2011
View Details
2011 2 6.7%
Tunneling in classical mechanics
preprint, 2011
View Details
2011 2 6.7%
Quantised Three-Pillar Problem
arXiv preprint quant-ph/0302097, 2003
View Details
2003 2 6.6%
Optimal shape of a blob
Journal of mathematical physics 48 (7), 2007
View Details
2007 2 6.6%
Boundary-Layer Theory
Advanced mathematical methods for scientists and engineers I: Asymptotic …, 1999
View Details
1999 2 6.5%
Approximate solution of nonlinear differential equations
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 2 6.5%
PT-symmetric ϕ4 theory in d= 0 dimensions
arXiv preprint arXiv:1501.00514, 2015
View Details
2015 2 6.4%
Geometric aspects of space-time reflection symmetry in quantum mechanics
Non-Hermitian Hamiltonians in Quantum Physics: Selected Contributions from …, 2016
View Details
2016 2 6.4%
Geometric aspects of space-time reflection symmetry in quantum mechanics
Non-Hermitian Hamiltonians in Quantum Physics: Selected Contributions from …, 2016
View Details
2016 2 6.4%
Synthetic versus Dirac monopoles
arXiv preprint arXiv:1408.4051, 2014
View Details
2014 2 6.3%
Matched asymptotic Expansions: Ideas and Techniques
Physics Today 42 (7), 72-74, 1989
View Details
1989 2 6.2%
Gauge invariance for field equations on a Minkowski lattice
Phys. Rev. Lett., 1984
View Details
1984 1 0.0%
A proposal for the solution of quantum field theory problems using a finite-element approximation
Applications of Computer Algebra, 392-406, 1985
View Details
1985 1 0.0%
Massless quantum electrodynamics with a critical point
arXiv preprint hep-th/9802184, 1998
View Details
1998 1 0.0%
Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization
Physical Review D 45 (12), 4600, 1992
View Details
1992 1 0.0%
Bernoulli-like polynomials associated with Stirling Numbers
arXiv e-prints, math-ph/0509008, 2005
View Details
2005 1 0.0%
Classical Particles Having Complex Energy Exhibit Quantum-Like Behavior
eCONFC0906083 22, 2009
View Details
2009 1 0.0%
Covariance of the gauge field in three-dimensional quantum electrodynamics
Physical Review D 44 (8), 2565, 1991
View Details
1991 1 0.0%
First Principles Molecular Dynamics Studies of a-Si and a-Si: H
MRS Online Proceedings Library (OPL) 297, 159, 1993
View Details
1993 1 0.0%
Difference equations
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 1 0.0%
Quantum Mechanics Based on Non-Hermitian Hamiltonians (Recent Trends in Exponential Asymptotics)
数理解析研究所講究録 1424, 64-77, 2005
View Details
2005 1 0.0%
Steven Alan Orszag
Physics Today 64 (11), 66-67, 2011
View Details
2011 1 0.0%
A proposal for the solution of quantum field theory problems using a finite-element approximation
Applications of Computer Algebra, 392-406, 1985
View Details
1985 1 0.0%
Almost zero-dimensional PT-symmetric quantum field theories
arXiv preprint arXiv:1003.3881, 2010
View Details
2010 1 0.0%
Strong-coupling calculation of the mass ratio in supersymmetric field theory
Physics Letters B 154 (5-6), 381-385, 1985
View Details
1985 1 0.0%
Approximate solution of nonlinear differential equations
Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic …, 1999
View Details
1999 1 0.0%
Erratum: Numerical computation of the renormalized effective potential in the strong-coupling limit
Physical Review D 24 (10), 2772, 1981
View Details
1981 1 0.0%
Lorentz transformation properties of nonconserved charges
Journal of Mathematical Physics 24 (4), 990-995, 1983
View Details
1983 1 0.0%
Heuristic Explanation of the Reality of Energy in PT-Symmetric Quantum Field Theory
Proceedings of Eleventh Workshop on Non-Perturbative Quantum Chromodynamics …, 2011
View Details
2011 1 0.0%
Resolution of Inconsistency in the Double-Scaling Limit
View Details
2012 1 0.0%
Nonuniqueness of the operator in -symmetric quantum mechanics
Journal of Physics A: Mathematical and Theoretical 46 (27), 275306, 2013
View Details
2013 1 0.0%
Finite element approximation in quantum theory
Workshop on Non-Perturbative Quantum Chromodynamics, 155-167, 1983
View Details
1983 1 0.0%