Imperial College London

Dr H F Jones

Faculty of Natural SciencesDepartment 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
to

117 results found

Jones HF, 2018, PT Symmetry in Optics, PT Symmetry In Quantum and Classical Physics, Editors: Bender, Publisher: World Scientific Publishing, Pages: 351-392, ISBN: 9781786345974

The ideas of PT symmetry were originally introduced in the context of quantum mechanics, but in recent years they have led to rapid developments in the apparently unconnected field of classical optics ...

BOOK CHAPTER

, 2018, Parity-time Symmetry and Its Applications, Publisher: Springer Singapore, ISBN: 9789811312465

BOOK CHAPTER

Bender CM, Gianfreda M, Hassanpour N, Jones HFet al., 2016, Comment on "On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator" [J. Math. Phys. 48, 032701 (2007)], JOURNAL OF MATHEMATICAL PHYSICS, Vol: 57, ISSN: 0022-2488

JOURNAL ARTICLE

Jones HF, Kulishov M, Kress B, 2016, Parity time-symmetric vertical cavities: intrinsically single-mode regime in longitudinal direction, OPTICS EXPRESS, Vol: 24, Pages: 17125-17137, ISSN: 1094-4087

JOURNAL ARTICLE

Jones HF, Kulishov M, 2016, Extension of analytic results for a PT-symmetric structure, JOURNAL OF OPTICS, Vol: 18, ISSN: 2040-8978

JOURNAL ARTICLE

Jones HF, 2015, Singular Mapping for a PT-Symmetric Sinusoidal Optical Lattice at the Symmetry-Breaking Threshold, INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, Vol: 54, Pages: 3986-3990, ISSN: 0020-7748

JOURNAL ARTICLE

Kulishov M, Jones HF, Kress B, 2015, Analysis of unidirectional non-paraxial invisibility of purely reflective PT-symmetric volume gratings, OPTICS EXPRESS, Vol: 23, Pages: 18694-18711, ISSN: 1094-4087

JOURNAL ARTICLE

Kulishov M, Jones HF, Kress B, 2015, Analysis of PT-symmetric volume gratings beyond the paraxial approximation, OPTICS EXPRESS, Vol: 23, Pages: 9347-9362, ISSN: 1094-4087

JOURNAL ARTICLE

Bender CM, Jones HF, 2014, Calculation of low-lying energy levels in quantum mechanics, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 47, ISSN: 1751-8113

JOURNAL ARTICLE

Kulishov M, Kress B, Jones HF, 2014, Novel optical characteristics of a Fabry-Perot resonator with embedded PT-symmetrical grating, OPTICS EXPRESS, Vol: 22, Pages: 23164-23181, ISSN: 1094-4087

JOURNAL ARTICLE

Jones HF, 2014, The floquet method for PT-symmetric periodic potentials, Acta Polytechnica, Vol: 54, Pages: 122-123, ISSN: 1210-2709

By the general theory of PT -symmetric quantum systems, their energy levels are either real or occur in complex-conjugate pairs, which implies that the secular equation must be real. However, for periodic potentials it is by no means clear that the secular equation arising in the Floquet method is indeed real, since it involves two linearly independent solutions of the Schrödinger equation. In this brief note we elucidate how that reality can be established. © Czech Technical University in Prague, 2014.

JOURNAL ARTICLE

Bender C, Fring A, G√ľnther U, Jones Het al., 2012, Quantum physics with non-Hermitian operators, Journal of Physics A: Mathematical and Theoretical, Vol: 45, ISSN: 1751-8113

JOURNAL ARTICLE

Bender CM, Jones HF, 2012, WKB analysis of PT-symmetric Sturm-Liouville problems, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 45, ISSN: 1751-8113

JOURNAL ARTICLE

Bender CM, Jones HF, 2012, Wentzel-Kramers-Brillouin analysis of PT-symmetric Sturm-Liouville problems, PHYSICAL REVIEW A, Vol: 85, ISSN: 1050-2947

JOURNAL ARTICLE

Jones HF, 2012, Analytic results for a PT-symmetric optical structure, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 45, ISSN: 1751-8113

JOURNAL ARTICLE

Jones HF, 2011, Perturbation theory for PT-symmetric sinusoidal optical lattices at the symmetry-breaking threshold, Acta Polytechnica, Vol: 51, Pages: 21-25, ISSN: 1210-2709

The P T symmetric potential V0 [cos(2πx/a) + iλ sin(2πx/a)] has a completely real spectrum for λ ≤ 1, and begins to develop complex eigenvalues for λ > 1. At the symmetry-breaking threshold λ = 1 some of the eigenvectors become degenerate, giving rise to a Jordan-block structure for each degenerate eigenvector. In general this is expected to give rise to a secular growth in the amplitude of the wave. However, it has been shown in a recent paper by Longhi, by numerical simulation and by the use of perturbation theory, that for an initial wave packet this growth is suppressed, giving instead a constant maximum amplitude. We revisit this problem by developing the perturbation theory further. We verify that the results found by Longhi persist to second order, and with different input wave packets we are able to see the seeds in perturbation theory of the phenomenon of birefringence first discovered by El-Ganainy et al.

JOURNAL ARTICLE

Bender CM, Jones HF, 2011, Bound states of PT-symmetric separable potentials, PHYSICAL REVIEW A, Vol: 84, ISSN: 1050-2947

JOURNAL ARTICLE

Jones HF, 2011, Use of equivalent Hermitian Hamiltonian for PT-symmetric sinusoidal optical lattices, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 44, ISSN: 1751-8113

JOURNAL ARTICLE

Graefe E-M, Jones HF, 2011, PT-symmetric sinusoidal optical lattices at the symmetry-breaking threshold, PHYSICAL REVIEW A, Vol: 84, ISSN: 1050-2947

JOURNAL ARTICLE

Jones HF, 2011, Green Functions for the Wrong-Sign Quartic, International Conference on Pseudo-Hermitian Hamiltonians in Quantum Physics, Publisher: SPRINGER/PLENUM PUBLISHERS, Pages: 1071-1080, ISSN: 0020-7748

CONFERENCE PAPER

Bender CM, Jones HF, 2011, Quantum counterpart of spontaneously broken classical PT symmetry, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 44, ISSN: 1751-8113

JOURNAL ARTICLE

Jones HF, Moreira ES, 2010, Quantum and classical statistical mechanics of a class of non-Hermitian Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 43, ISSN: 1751-8113

JOURNAL ARTICLE

Bender CM, Benincasa G, Jones HF, 2009, Comment on "New ansatz for metric operator calculation in pseudo-Hermitian field theory", PHYSICAL REVIEW D, Vol: 80, ISSN: 2470-0010

JOURNAL ARTICLE

Jones HF, Rivers RJ, 2009, Which Green functions does the path integral for quasi-Hermitian Hamiltonians represent?, PHYSICS LETTERS A, Vol: 373, Pages: 3304-3308, ISSN: 0375-9601

JOURNAL ARTICLE

Bender CM, Besseghir K, Jones HF, Yin Xet al., 2009, Small-epsilon behavior of the non-Hermitian PT-symmetric Hamiltonian H = p(2) + x(2)(ix)(epsilon), JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 42, ISSN: 1751-8113

JOURNAL ARTICLE

Jones HF, 2009, Gauging non-Hermitian Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 42, ISSN: 1751-8113

JOURNAL ARTICLE

Jones HF, 2008, Interface between Hermitian and non-Hermitian Hamiltonians in a model calculation, PHYSICAL REVIEW D, Vol: 78, ISSN: 1550-7998

JOURNAL ARTICLE

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

JOURNAL ARTICLE

Bender CM, Jones HF, 2008, Interactions of Hermitian and non-Hermitian Hamiltonians, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 41, ISSN: 1751-8113

JOURNAL ARTICLE

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

JOURNAL ARTICLE

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