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

  • Bagarello Fabio 
  • Passante Roberto 
  • Trapani Camillo 
Conference proceedings

DOI: 10.1007/978-3-319-31356-6

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

Table of contents (26 papers)

  1. Front Matter
    Pages i-xi
  2. Real Discrete Spectrum of Complex PT-Symmetric Scattering Potentials
    Zafar Ahmed, Joseph Amal Nathan, Dhruv Sharma, Dona Ghosh
    Pages 1-9
  3. PT Symmetric Classical and Quantum Cosmology
    Alexander A. Andrianov, Chen Lan, Oleg O. Novikov
    Pages 29-44
  4. Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that
    Jean-Pierre Antoine, Camillo Trapani
    Pages 45-65
  5. 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
  6. Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation
    I. V. Barashenkov, D. A. Zezyulin, V. V. Konotop
    Pages 143-155
  7. 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
  8. Non-unitary Evolution of Quantum Logics
    Sebastian Fortin, Federico Holik, Leonardo Vanni
    Pages 219-234
  9. A Unifying E2-Quasi Exactly Solvable Model
    Andreas Fring
    Pages 235-248
  10. 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
  11. Some Features of Exceptional Points
    W. D. Heiss
    Pages 281-288
  12. 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

About these proceedings


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.


Krein Space Methods Non-Hermitian Operators Open Quantum Systems PHHQP 2015 Proceedings PT-optics PT-symmetric Hamiltonians PT-symmetric Hamiltonians PT-symmetry in Quantum Physics Quantum Physics Proceedings Spectral Singularities

Editors and affiliations

  • Bagarello Fabio 
    • 1
  • Passante Roberto 
    • 2
  • Trapani Camillo 
    • 3
  1. 1.Dipartimento di EnergiaUniversità degli Studi di PalermoPalermoItaly
  2. 2.Dipartimento di Fisica e ChimicaUniversità degli Studi di PalermoPalermoItaly
  3. 3.Matematica e InformaticaUniversità degli Studi di PalermoPalermoItaly

Bibliographic information

  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-31354-2
  • Online ISBN 978-3-319-31356-6
  • Series Print ISSN 0930-8989
  • Series Online ISSN 1867-4941