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Non-Hermitian Hamiltonians in Quantum Physics

Selected Contributions from the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, Palermo, Italy, 18-23 May 2015

  • Conference proceedings
  • © 2016

Overview

Editors:
  1. Fabio Bagarello

    1. Dipartimento di Energia, Università degli Studi di Palermo, Palermo, Italy

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  2. Roberto Passante

    1. Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, Palermo, Italy

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  3. Camillo Trapani

    1. Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy

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Part of the book series: Springer Proceedings in Physics (SPPHY, volume 184)

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Table of contents (26 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Real Discrete Spectrum of Complex PT-Symmetric Scattering Potentials

    • Zafar Ahmed, Joseph Amal Nathan, Dhruv Sharma, Dona Ghosh
    Pages 1-9

  3. Geometrical and Asymptotical Properties of Non-Selfadjoint Induction Equation with the Jump of the Velocity Field. Time Evolution and Spatial Structure of the Magnetic Field

    • Anna I. Allilueva, Andrei I. Shafarevich
    Pages 11-27

  4. PT Symmetric Classical and Quantum Cosmology

    • Alexander A. Andrianov, Chen Lan, Oleg O. Novikov
    Pages 29-44

  5. Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that

    • Jean-Pierre Antoine, Camillo Trapani
    Pages 45-65

  6. Generalized Jaynes-Cummings Model with a Pseudo-Hermitian: A Path Integral Approach

    • Mekki Aouachria
    Pages 67-81

  7. Exceptional Points in a Non-Hermitian Extension of the Jaynes-Cummings Hamiltonian

    • Fabio Bagarello, Francesco Gargano, Margherita Lattuca, Roberto Passante, Lucia Rizzuto, Salvatore Spagnolo
    Pages 83-95

  8. \(\mathscr {D}{-}\)Deformed and SUSY-Deformed Graphene: First Results

    • F. Bagarello, M. Gianfreda
    Pages 97-122

  9. Localised Nonlinear Modes in the PT-Symmetric Double-Delta Well Gross-Pitaevskii Equation

    • I. V. Barashenkov, D. A. Zezyulin
    Pages 123-142

  10. Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation

    • I. V. Barashenkov, D. A. Zezyulin, V. V. Konotop
    Pages 143-155

  11. The EMM and the Spectral Analysis of a Non Self-adjoint Hamiltonian on an Infinite Dimensional Hilbert Space

    • Natalia Bebiano, João da Providência
    Pages 157-166

  12. Bessel Sequences, Riesz-Like Bases and Operators in Triplets of Hilbert Spaces

    • Giorgia Bellomonte
    Pages 167-183

  13. Geometric Aspects of Space-Time Reflection Symmetry in Quantum Mechanics

    • Carl M. Bender, Dorje C. Brody, Lane P. Hughston, Bernhard K. Meister
    Pages 185-199

  14. Mathematical and Physical Meaning of the Crossings of Energy Levels in \({\mathscr {PT}}\)-Symmetric Systems

    • Denis I. Borisov, Miloslav Znojil
    Pages 201-217

  15. Non-unitary Evolution of Quantum Logics

    • Sebastian Fortin, Federico Holik, Leonardo Vanni
    Pages 219-234

  16. A Unifying E2-Quasi Exactly Solvable Model

    • Andreas Fring
    Pages 235-248

  17. Sublattice Signatures of Transitions in a \(\mathscr {PT}\)-Symmetric Dimer Lattice

    • Andrew K. Harter, Yogesh N. Joglekar
    Pages 249-261

  18. Physical Aspect of Exceptional Point in the Liouvillian Dynamics for a Quantum Lorentz Gas

    • Kazunari Hashimoto, Kazuki Kanki, Satoshi Tanaka, Tomio Petrosky
    Pages 263-279

  19. Some Features of Exceptional Points

    • W. D. Heiss
    Pages 281-288

  20. Spontaneous Breakdown of a PT-Symmetry in the Liouvillian Dynamics at a Non-Hermitian Degeneracy Point

    • Kazuki Kanki, Kazunari Hashimoto, Tomio Petrosky, Satoshi Tanaka
    Pages 289-304
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Keywords

About this book

This book presents the Proceedings of the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, held in Palermo, Italy, from 18 to 23 May 2015. Non-Hermitian operators, and non-Hermitian Hamiltonians in particular, have recently received considerable attention from both the mathematics and physics communities. There has been a growing interest in non-Hermitian Hamiltonians in quantum physics since the discovery that PT-symmetric Hamiltonians can have a real spectrum and thus a physical relevance. The main subjects considered in this book include: PT-symmetry in quantum physics, PT-optics, Spectral singularities and spectral techniques, Indefinite-metric theories, Open quantum systems, Krein space methods, and Biorthogonal systems and applications. The book also provides a summary of recent advances in pseudo-Hermitian Hamiltonians and PT-symmetric Hamiltonians, as well as their applications in quantum physics and in the theory of open quantum systems.

Editors and Affiliations

  • Dipartimento di Energia, Università degli Studi di Palermo, Palermo, Italy

    Fabio Bagarello

  • Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, Palermo, Italy

    Roberto Passante

  • Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy

    Camillo Trapani

Bibliographic Information

  • Book Title: Non-Hermitian Hamiltonians in Quantum Physics

  • Book Subtitle: Selected Contributions from the 15th International Conference on Non-Hermitian Hamiltonians in Quantum Physics, Palermo, Italy, 18-23 May 2015

  • Editors: Fabio Bagarello, Roberto Passante, Camillo Trapani

  • Series Title: Springer Proceedings in Physics

  • DOI: https://doi.org/10.1007/978-3-319-31356-6

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-31354-2Published: 28 May 2016

  • Softcover ISBN: 978-3-319-81020-1Published: 30 May 2018

  • eBook ISBN: 978-3-319-31356-6Published: 27 May 2016

  • Series ISSN: 0930-8989

  • Series E-ISSN: 1867-4941

  • Edition Number: 1

  • Number of Pages: XI, 403

  • Number of Illustrations: 32 b/w illustrations, 47 illustrations in colour

  • Topics: Quantum Physics, Mathematical Physics

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