Publications
286 results found
Bender CM, Mannheim PD, 2008, No-ghost theorem for the fourth-order derivative pais-uhlenbeck oscillator model, PHYSICAL REVIEW LETTERS, Vol: 100, ISSN: 0031-9007
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- Citations: 243
Holm DD, Hook DW, Bender CM, 2007, Complexified dynamical systems., Journal of Mathematical Physics A - Mathematical and Theoretical, Vol: 40, Pages: F793-F804
Many dynamical systems, such as the Lotka- Volterra predator-prey model and the Euler equations for the free rotation of a rigid body, are PT symmetric. The standard and well-known real solutions to such dynamical systems constitute an infinitessimal subclass of the full set of complex solutions. This paper examines a subset of the complex solutions that contains the real solutions, namely those having PT symmetry. The condition of PT symmetry selects out complex solutions that are periodic
Bender CM, Darg DW, 2007, Spontaneous breaking of classical <i>PT</i> symmetry, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 48, ISSN: 0022-2488
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- Citations: 30
Bender CM, Brody DC, Chen JH, 2007, PT-symmetric extension of the Korteweg-de Vries equation, J PHYS A-MATH THEO, Vol: 40, Pages: F153-F160, ISSN: 0305-4470
Bender CM, Brody DC, Jones HF, et al., 2007, Faster than hermitian quantum mechanics, PHYSICAL REVIEW LETTERS, Vol: 98, ISSN: 0031-9007
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- Citations: 300
Bender CM, Holm DD, Hook DW, 2007, Complex trajectories of a simple pendulum., Journal of Physics A: Mathematical and Theoretical, Vol: 40, Pages: F81-F89
The motion of a classical pendulum in a gravitational field of strength g is explored. The complex trajectories as well as the real ones are determined. If g is taken to be imaginary, the Hamiltonian that describes the pendulum becomes PT-symmetric. The classical motion for this PT-symmetric Hamiltonian is examined in detail. The complex motion of this pendulum in the presence of an external periodic forcing term is also studied.
Bender CM, Ben-Naim E, 2007, Nonlinear integral-equation formulation of orthogonal polynomials, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 40, Pages: F9-F15, ISSN: 1751-8113
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- Citations: 3
Bender CM, 2007, Faster than Hermitian Time Evolution, SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, Vol: 3, ISSN: 1815-0659
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- Citations: 5
Bender CM, 2006, Parity anomaly in a <i>PT</i>-symmetric quartic Hamiltonian, CZECHOSLOVAK JOURNAL OF PHYSICS, Vol: 56, Pages: 1047-1062, ISSN: 0011-4626
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- Citations: 2
Bender CM, 2006, Four easy pieces, Workshop on the Physics of Non-Hermitian Operators, Publisher: IOP PUBLISHING LTD, Pages: 9993-10012, ISSN: 0305-4470
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- Citations: 5
Bender CM, Brody DC, Chen J-H, et al., 2006, Equivalence of a complex PT-symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly, PHYSICAL REVIEW D, Vol: 74, ISSN: 1550-7998
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- Citations: 72
Bender CM, Chen J-H, Darg DW, et al., 2006, Classical trajectories for complex Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 39, Pages: 4219-4238, ISSN: 0305-4470
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- Citations: 45
Bender CM, Tan B, 2006, Calculation of the hidden symmetry operator for a <i>PT</i>-symmetric square well, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 39, Pages: 1945-1953, ISSN: 0305-4470
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- Citations: 38
Bender CM, Chen JH, Milton KA, 2006, <i>PT</i>-symmetric versus Hermitian formulations of quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 39, Pages: 1657-1668, ISSN: 0305-4470
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- Citations: 54
Bender CM, Brody DC, Jones HF, 2006, Semiclassical analysis of a complex quartic Hamiltonian, PHYSICAL REVIEW D, Vol: 73, ISSN: 1550-7998
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- Citations: 7
Bender CM, Brody DC, Chen JH, et al., 2006, Equivalence of a complex PT-symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly (Article no. 025016), Physical Review D, Vol: 74, Pages: 1-10, ISSN: 1550-7998
Bender CM, Brody DC, Jones HF, 2006, Semiclassical analysis of a complex quartic Hamiltonian (Article no.025002), Physical Review D, Vol: 73, Pages: 1-5, ISSN: 1550-7998
Bender CM, Jones HF, Rivers RJ, 2005, Dual <i>PT</i>-symmetric quantum field theories, PHYSICS LETTERS B, Vol: 625, Pages: 333-340, ISSN: 0370-2693
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- Citations: 100
Ahmed Z, Bender CM, Berry MV, 2005, Reflectionless potentials and <i>PT</i> symmetry, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 38, Pages: L627-L630, ISSN: 0305-4470
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- Citations: 58
Bender CM, Brody DC, Hook DW, 2005, Solvable model of quantum microcanonical states, Journal of Physics A: Mathematical and General, Vol: 38, Pages: L607-L613, ISSN: 0305-4470
Bender CM, 2005, Ghost busting: Making sense of non-Hermitian Hamiltonians, 3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: INST PHYSICS ACAD SCI CZECH REPUBLIC, Pages: 1067-1074, ISSN: 0011-4626
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- Citations: 1
Bender CM, 2005, Non-Hermitian quantum field theory, 8th Workshop on Non-Perturbative Quantum Chromodynamics, Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD, Pages: 4646-4652, ISSN: 0217-751X
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- Citations: 5
Bender CM, 2005, Introduction to <i>PT</i>-symmetric quantum theory, CONTEMPORARY PHYSICS, Vol: 46, Pages: 277-292, ISSN: 0010-7514
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- Citations: 316
Bender CM, Meisinger PN, Wang QH, 2005, Wilson polynomials and the Lorentz transformation properties of the parity operator, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 46, ISSN: 0022-2488
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- Citations: 2
Bender CM, Cavero-Pelaez I, Milton KA, et al., 2005, <i>PT-</i>symmetric quantum electrodynamics, PHYSICS LETTERS B, Vol: 613, Pages: 97-104, ISSN: 0370-2693
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- Citations: 37
Bender CM, Monou M, 2005, New quasi-exactly solvable sextic polynomial potentials, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 38, Pages: 2179-2187, ISSN: 0305-4470
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- Citations: 22
Bender CM, Brody DC, Meister BK, 2005, Unusual quantum states: non-locality, entropy, Maxwell's demon and fractals, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 461, Pages: 733-753, ISSN: 1364-5021
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- Citations: 18
Bender CM, Brandt SF, Chen JH, et al., 2005, The <i>C</i> operator in <i>PT</i>-symmetric quantum field theory transforms as a Lorentz scalar -: art. no. 065010, PHYSICAL REVIEW D, Vol: 71, ISSN: 1550-7998
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- Citations: 31
Bender CM, Brody DC, Jones HF, 2005, Extension of <i>PT</i>-symmetric quantum mechanics to quantum field theory with cubic interaction (vol 70, art no 025001, 2004) -: art. no. 049901, PHYSICAL REVIEW D, Vol: 71, ISSN: 1550-7998
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- Citations: 29
Bender CM, Brandt SF, Chen JH, et al., 2005, Ghost busting:: <i>PT</i>-symmetric interpretation of the Lee model -: art. no. 025014, PHYSICAL REVIEW D, Vol: 71, ISSN: 1550-7998
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- Citations: 76
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