Imperial College London
Professor Bender

Professor Bender

Faculty of Natural Sciences, Department of Physics

Academic Visitor
 
 
 
//

Contact

 

+44 (0)20 7594 7847c.bender Website

 
 
//

Location

 

521Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Publication Type
Year
to

286 results found

Bender CM, Brody DC, Meister BK, 2005, Entropy and temperature of a quantum Carnot engine, The laws of thermodynamics: an anthology of current thought, Editors: Viegas, Viegas, New York, Publisher: The Rosen Publishing Group, Pages: 21-34, ISBN: 9781404204096

Book chapter

Bender CM, 2005, Continuum limit of lattice approximation schemes, Workshop on Group Theory and Numerical Analysis, Publisher: AMER MATHEMATICAL SOC, Pages: 33-48

Conference paper

Bender CM, Brody DC, Jones HF, 2004, Scalar quantum field theory with a complex cubic interaction, PHYSICAL REVIEW LETTERS, Vol: 93, ISSN: 0031-9007

Journal article

Bender CM, Brod J, Refig A, Reuter MEet al., 2004, The <i>C</i> operator in <i>PT</i>-symmetric quantum theories, International Conference on Progress in Supersymmetric Quantum Mechanics, Publisher: IOP PUBLISHING LTD, Pages: 10139-10165, ISSN: 0305-4470

Conference paper

Bender CM, 2004, Calculating the <i>C</i> operator in <i>PT</i>-symmetric quantum mechanics, 2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: INST PHYSICS ACAD SCI CZECH REPUBLIC, Pages: 1027-1038, ISSN: 0011-4626

Conference paper

Bender CM, Jones HF, 2004, Semiclassical calculation of the <i>C</i> operator in <i>PT</i>-symmetric quantum mechanics, PHYSICS LETTERS A, Vol: 328, Pages: 102-109, ISSN: 0375-9601

Journal article

Bender CM, Brody DC, Jones HF, 2004, Extension of <i>PT</i>-symmetric quantum mechanics to quantum field theory with cubic interaction -: art. no. 025001, PHYSICAL REVIEW D, Vol: 70, ISSN: 1550-7998

Journal article

Bender CM, Brody DC, Jones HF, 2004, Complex extension of quantum mechanics (vol 89, art no 270401, 2002), PHYSICAL REVIEW LETTERS, Vol: 92, ISSN: 0031-9007

Journal article

Bender CM, Bender MA, Demaine ED, Fekete SPet al., 2004, What is the optimal shape of a city?, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 37, Pages: 147-159, ISSN: 0305-4470

Journal article

Bender CM, 2004, <i>PT</i> symmetry in quantum field theory, 1st International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: INST PHYSICS ACAD SCI CZECH REPUBLIC, Pages: 13-28, ISSN: 0011-4626

Conference paper

Bender CM, Brody DC, Jones HF, 2003, Must a Hamiltonian be Hermitian?, AMERICAN JOURNAL OF PHYSICS, Vol: 71, Pages: 1095-1102, ISSN: 0002-9505

Journal article

Bender CM, Meisinger PN, Wang QH, 2003, Finite-dimensional <i>PT</i>-symmetric hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 36, Pages: 6791-6797, ISSN: 0305-4470

Journal article

Bender CM, Meisinger PN, Wang QH, 2003, Calculation of the hidden symmetry operator in <i>PT</i>-symmetric quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 36, Pages: 1973-1983, ISSN: 0305-4470

Journal article

Bender CM, Meisinger PN, Wang QH, 2003, All Hermitian Hamiltonians have parity, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 36, Pages: 1029-1031, ISSN: 0305-4470

Journal article

Bender CM, Brody DC, Meister BK, 2003, On powers of Bessel functions, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 44, Pages: 309-314, ISSN: 0022-2488

Journal article

Bender CM, 2003, Properties of non-Hermitian quantum field theories, 24th International Colloquium on Group Theoretical Methods in Physics, Publisher: IOP PUBLISHING LTD, Pages: 43-50, ISSN: 0951-3248

Conference paper

Bender CM, 2003, Properties of non-hermitian quantum field theories, Colloquium in Honor of Frederic Pham, Publisher: ANNALES INST FOURIER, Pages: 997-+, ISSN: 0373-0956

Conference paper

Bender CM, Brody DC, Jones HF, 2002, Complex extension of quantum mechanics, PHYS REV LETT, Vol: 89, Pages: 270401-1-270401-4, ISSN: 0031-9007

Requiring that a Hamiltonian be Hermitian is overly restrictive. A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but satisfies the less restrictive and more physical condition of space-time reflection symmetry (PT symmetry). One might expect a non-Hermitian Hamiltonian to lead to a violation of unitarity. However, if PT symmetry is not spontaneously broken, it is possible to construct a previously unnoticed symmetry C of the Hamiltonian. Using C, an inner product whose associated norm is positive definite can be constructed. The procedure is general and works for any PT-symmetric Hamiltonian. Observables exhibit CPT symmetry, and the dynamics is governed by unitary time evolution. This work is not in conflict with conventional quantum mechanics but is rather a complex generalization of it.

Journal article

Bender CM, Boettcher S, Meisinger PN, Wang QHet al., 2002, Two-point Green's function in <i>PT</i>-symmetric theories, PHYSICS LETTERS A, Vol: 302, Pages: 286-290, ISSN: 0375-9601

Journal article

Bender CM, Berry MV, Mandilara A, 2002, Generalized PT symmetry and real spectra, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 35, Pages: L467-L471, ISSN: 0305-4470

Journal article

Bender CM, Pelster A, Weissbach F, 2002, Boundary-layer theory, strong-coupling series, and large-order behavior, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 43, Pages: 4202-4220, ISSN: 0022-2488

Journal article

Bender CM, Brody DC, Meister BK, 2002, Entropy and temperature of a quantum Carnot engine, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, Vol: 458, Pages: 1519-1526, ISSN: 1364-5021

Journal article

Bender CM, Boettcher S, Jones HF, Meisinger PN, Simsek Met al., 2001, Bound states of non-Hermitian quantum field theories, PHYSICS LETTERS A, Vol: 291, Pages: 197-202, ISSN: 0375-9601

Journal article

Bender CM, Wang QH, 2001, A class of exactly-solvable eigenvalue problems, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 34, Pages: 9835-9847, ISSN: 0305-4470

Journal article

Bender CM, Weniger EJ, 2001, Numerical evidence that the perturbation expansion for a non-Hermitian <i>PT</i>-symmetric Hamiltonian is Stieltjes, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 42, Pages: 2167-2183, ISSN: 0022-2488

Journal article

Bender CM, Boettcher S, Jones HF, Meisinger PNet al., 2001, Double-scaling limit of a broken symmetry quantum field theory in dimensions D&lt;2, JOURNAL OF MATHEMATICAL PHYSICS, Vol: 42, Pages: 1960-1973, ISSN: 0022-2488

Journal article

Bender CM, Wang QH, 2001, Comment on a recent paper by Mezincescu, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 34, Pages: 3325-3328, ISSN: 0305-4470

Journal article

Bender CM, Dunne GV, Meisinger PN, Simsek Met al., 2001, Quantum complex Henon-Heiles potentials, PHYSICS LETTERS A, Vol: 281, Pages: 311-316, ISSN: 0375-9601

Journal article

Bender CM, Berry M, Meisinger PN, Savage VM, Simsek Met al., 2001, Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 34, Pages: L31-L36, ISSN: 0305-4470

Journal article

Bender CM, Meisinger PN, Yang HT, 2001, Calculation of the one-point Green's function for a-<i>g</i>φ<SUP>4</SUP> quantum field theory -: art. no. 045001, PHYSICAL REVIEW D, Vol: 63, ISSN: 0556-2821

Journal article

This data is extracted from the Web of Science and reproduced under a licence from Thomson Reuters. You may not copy or re-distribute this data in whole or in part without the written consent of the Science business of Thomson Reuters.

Request URL: http://wlsprd.imperial.ac.uk:80/respub/WEB-INF/jsp/search-html.jsp Request URI: /respub/WEB-INF/jsp/search-html.jsp Query String: id=00399369&limit=30&person=true&page=5&respub-action=search.html