PUBLICATIONS 2022






    REFEREED JOURNALS



  1. Miloslav Znojil,
    Systematics of quasi-Hermitian representations of non-Hermitian quantum models.
    Annals of Physics 448 (2023) 169198
    50 days fee access
    available online
    DOI:10.1016/j.aop.2022.169198
    (arXiv:2212.03940)

  2. Miloslav Znojil,
    Hybrid form of quantum theory with non-Hermitian Hamiltonians.
    Physics Letters A 457 (2023) 128556
    (temporary open access till January 12th)
    DOI:10.1016/j.physleta.2022.128556
    (arXiv:2211.10633)

  3. Miloslav Znojil,
    Interference of non-Hermiticity with Hermiticity at exceptional points.
    Mathematics 10 (2022) 3721 [23 pp];
    section: Mathematical Physics
    special issue: Applications of Functional Analysis in Quantum Physics
    permanent open access: https://doi.org/10.3390/math10203721
    (arXiv:2208.14257)

  4. Miloslav Znojil,
    Displaced harmonic oscillator $V\sim \min \,[(x+d)^2,(x-d)^2]$ as a benchmark double-well quantum model
    Quantum Reports 4 (2022) 309 - 323
    permanent open access
    DOI: 10.3390/quantum4030022
    (arXiv:1607.01297v2)

  5. Miloslav Znojil,
    Factorized Hilbert-space metrics and non-commutative quasi-Hermitian observables
    EPL 139 (2022) 32001
    available online
    DOI:10.1209/0295-5075/ac7e69
    (arXiv:2206.13576)

  6. Miloslav Znojil,
    Wheeler-DeWitt equation and the applicability of crypto-Hermitian interaction representation in quantum cosmology.
    Universe 2022, 8, 385,
    DOI:10.3390/universe8070385
    (arXiv:2207.08508)
    (a part of Special Issue, reprinted as a book: see below)

  7. Miloslav Znojil and Denis I. Borisov,
    Arnold's potentials and quantum catastrophes II.
    Annals of Physics 442 (2022) 168896
    DOI:10.1016/j.aop.2022.168896
    (arXiv:2101.02015v2)

  8. Miloslav Znojil,
    Feasibility and method of multi-step Hermitization of crypto-Hermitian quantum Hamiltonians
    Eur. Phys. J. Plus 137, 335 (2022).
    (here: shared open access)
    DOI:10.1140/epjp/s13360-022-02567-0
    (arXiv:2203.02674)

  9. Miloslav Znojil,
    Confluences of exceptional points and a systematic classification of quantum catastrophes
    Scientific Reports 12, 3355 (2022).
    (here: shared open access)
    DOI:10.1038/s41598-022-07345-7
    (arXiv:2202.02554)

  10. Joshua Feinberg and Miloslav Znojil,
    Which metrics are consistent with a given pseudo-hermitian matrix?
    J. Math. Phys. 63 (2022) 013505
    DOI:10.1063/5.0079385
    (arXiv:2111.04216)

  11. Miloslav Znojil,
    Quantum mechanics using two auxiliary inner products .
    Physics Letters A 421 (2022) 127792 .
    DOI:10.1016/j.physleta.2021.127792
    (arXiv:2110.12155)

    12. BOOK CHAPTERS


  12. Miloslav Znojil,
    Three-Hilbert-space formulation of quantum theory:
    unitary evolution via non-Hermitian Hamiltonians.
    in "Topics in Mathematical Physics, Quantum Physics and Path Integrals",
    written version of the series of 6 lectures for the
    "4-th Jijel School of Theoretical Physics" (25. - 29. IX. 2016), in print.
    Ed. Abdelhafid Bounames and Abdenacer Makhlouf, ISTE-Wiley Editions, 2023,
    Chapter 2, pp. 79 - 126.

  13. Miloslav Znojil,
    Wheeler-DeWitt equation and the applicability of crypto-Hermitian interaction representation in quantum cosmology.
    in
    ``Selected Topics in Gravity, Field Theory and Quantum Mechanics''
    Steven Duplij and Michael L. Walker (Eds.)
    (this book is a reprint of Special Issue - see above)
    Pages: 348, Published (hard cover): December 2022
    ISBN 978-3-0365-5905-6 (Hbk);
    ISBN 978-3-0365-5906-3 (PDF)
    https://doi.org/10.3390/books978-3-0365-5906-3 (registering DOI)


    14. SPECIAL ISSUE


  14. Andrii Krabustovskii and Miloslav Znojil,
    Preface to the Special Issue ANALYTIC AND ALGEBRAIC METHODS IN PHYSICS
    Acta Polytechnica, Vol. 62 No. 1 (2022),     pp. 1 - 2 (open access).
         SI itself was dedicated to the (this time, just Zoomed) XVIIIth continuation
    of the AAMP series of the international, mathematically oriented conferences.



Notes:
reprints available upon e-mailed request.

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