Imperial College London
Alternate

Dr H F Jones

Faculty of Natural Sciences, Department of Physics

Distinguished Research Fellow
 
 
 
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Contact

 

+44 (0)20 7594 7830h.f.jones Website

 
 
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Assistant

 

Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843

 
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Location

 

509Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Publication Type
Year
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120 results found

Fring A, Jones H, Znojil M, 2008, 6th International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics: Preface, Journal of Physics A: Mathematical and Theoretical, Vol: 41, ISSN: 1751-8113

  • Cite
  • Citations: 19
Journal article

Jones HF, 2008, Equivalent Hamiltonian for the Lee model, PHYSICAL REVIEW D, Vol: 77, ISSN: 1550-7998

Journal article

Jones HF, 2007, Scattering from localized non-Hermitian potentials, PHYSICAL REVIEW D, Vol: 76, ISSN: 1550-7998

Journal article

Bender CM, Brody DC, Jones HF, Meister BKet al., 2007, Faster than hermitian quantum mechanics, PHYSICAL REVIEW LETTERS, Vol: 98, ISSN: 0031-9007

Journal article

Jones HF, Rivers RJ, 2007, Disappearing Q operator, PHYS REV D, Vol: 75

Journal article

Jones HF, 2006, On an equivalent Hermitian Hamiltonian for the wrong-sign quartic potential, CZECHOSLOVAK JOURNAL OF PHYSICS, Vol: 56, Pages: 909-917, ISSN: 0011-4626

Journal article

Jones HF, 2006, Equivalent Hamiltonians for <i>PT</i>-symmetric versions of dual 2D field theories, Workshop on the Physics of Non-Hermitian Operators, Publisher: IOP PUBLISHING LTD, Pages: 10123-10132, ISSN: 0305-4470

Conference paper

Bender CM, Brody DC, Chen J-H, Jones HF, Milton KA, Ogilvie MCet 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

Journal article

Jones HF, Mateo J, 2006, Equivalent Hermitian Hamiltonian for the non-Hermitian -<i>x</i><SUP>4</SUP> potential, PHYSICAL REVIEW D, Vol: 73, ISSN: 1550-7998

Journal article

Bender CM, Brody DC, Jones HF, 2006, Semiclassical analysis of a complex quartic Hamiltonian, PHYSICAL REVIEW D, Vol: 73, ISSN: 1550-7998

Journal article

Jones HF, Mateo J, Rivers RJ, 2006, On the path-integral derivation of the anomaly for the Hermitian equivalent of the complex PT-symmetric quartic Hamiltonian, PHYS REV D, Vol: 74

Journal article

Bender CM, Brody DC, Chen JH, Jones HF, Milton KA, Ogilvie MCet 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

Journal article

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

Journal article

Jones HF, Mateo J, 2005, Pseudo-Hermitian Hamiltonians: a tale of two potentials, 3rd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: INST PHYSICS ACAD SCI CZECH REPUBLIC, Pages: 1117-1122, ISSN: 0011-4626

Conference paper

Amore P, Aranda A, Fernández FM, Jones Het al., 2005, A new approximation method for time-dependent problems in quantum mechanics, PHYSICS LETTERS A, Vol: 340, Pages: 87-93, ISSN: 0375-9601

Journal article

Jones HF, 2005, On pseudo-Hermitian Hamiltonians and their Hermitian counterparts, JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Vol: 38, Pages: 1741-1746, ISSN: 0305-4470

Journal article

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

Journal article

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

Jones HF, 2004, The <i>C</i> operator in i<i>p</i><SUP>3</SUP> field theory, 2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: INST PHYSICS ACAD SCI CZECH REPUBLIC, Pages: 1107-1111, 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

Jones HF, 2004, Beyond perturbation theory - the linear delta expansion, Dubna, VII international Gomel school-seminar "modern problems of microworld physics", Gomel, Belarus, 28 July - 8 August 2003, Publisher: JINR, Pages: 27-59

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

Bedingham DJ, Jones HF, 2003, Quantum field dynamics of the slow rollover in the linear delta expansion, PHYSICAL REVIEW D, Vol: 68, ISSN: 2470-0010

Journal article

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, 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

Jones HF, Parkin P, Winder D, 2001, Quantum dynamics of the slow rollover transition in the linear delta expansion, PHYSICAL REVIEW D, Vol: 63, ISSN: 0556-2821

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

Evans TS, Jones HF, Winder D, 2001, Non-perturbative calculations of a global <i>U</i> (2) theory at finite density and temperature, NUCLEAR PHYSICS B, Vol: 598, Pages: 578-600, ISSN: 0550-3213

Journal article

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