PREPRINTS







FRESH PREPRINTS (SUBMITTED)




PRELIMINARY REPORTS available solely via arXiv



  1. Sergii Kuzhel and Miloslav Znojil,
    Quantum solvable models with nonlocal one point interactions.
    (arXiv:1607.00350)

  2. Miloslav Znojil,
    Non-analytic exponential well $V(x)= -g^2\exp (-|x|)$ and an innovated, analytic shooting method
    (arXiv:1605.06780)

  3. Miloslav Znojil,
    Action-at-a-distance in a solvable quantum model
    (arXiv:1410.3583v1)


  4. Miloslav Znojil,
    Comment on letter "Local PT symmetry violates the no-signaling principle" by Yi-Chan Lee et al, Phys. Rev. Lett. 112, 130404 (2014)
    (arXiv:1404.1555v1)

  5. Miloslav Znojil,
    Can unavoided level crossing disguise phase transition?
    (arXiv:1303.4876v1)

  6. Miloslav Znojil,
    Quantum catastrophes II. Generic pattern of the fall into instability
    (arXiv:1212.0734v1)

  7. Miloslav Znojil,
    PT-symmetry and quantum graphs
    (arXiv:1205.5211v1)

  8. Miloslav Znojil,
    The complete menu of eligible metrics for a family of toy Hamiltonians $H \neq H^\dagger$ with real spectra
    ( arXiv:0806.4295v2)

  9. Miloslav Znojil,
    PT-symmetric Sturmians
    (arXiv:0804.3857v1)

  10. Miloslav Znojil,
    Two-step identification of observables in PT-symmetric quantum-toboggan models
    (arXiv:0803.0403v1)

  11. Miloslav Znojil,
    PT-symmetric knotting of coordinates: a new, topological mechanism of quantum confinement.
    (arXiv: 0801.0517v1)


  12. Miloslav Znojil,
    A schematic model of scattering in PT-symmetric Quantum Mechanics
    (arXiv:0704.0214v1)

  13. Miloslav Znojil,
    Spiked harmonic quantum toboggans
    (quant-ph/0606166v1), unpublished version.
    Quantum particle is assumed located in an analytically perturbed harmonic-oscillator potential. Its motion along certain complex, PT-symmetric "toboggan" paths which N-times encircle the branch point in the origin is studied in both the bound-state and scattering regime.

  14. Miloslav Znojil,
    Unusual scalar products in Hilbert space of Quantum Mechanics: non-Hermitian square-well model with two coupled channels
    (quant-ph/0505032).

  15. Miloslav Znojil,
    Calogerian models, osculation method and low-lying spectra of many-particle anharmonic oscillators
    extended abstract, in Biennial Report of NPI (ed. J. Dittrich), available upon emailed request

  16. Miloslav Znojil,
    PT-symmetry, ghosts, SUSY and Klein-Gordon equation.
    (hep-th/0408081), invited talk XI SYMPHYS Prague, June 21 - 24, 2004
    (the text and all proceedings (on CD) are available from organizers upon request)

  17. Miloslav Znojil,
    Supersymmetric quantum mechanics and regularizations
    (hep-th/0209262v1), preliminary notes for the invited talk in Valladolid (July 2003) - unpublished in this form.

  18. Miloslav Znojil,
    Pseudo-Hermitian version of the charged harmonic oscillator and its ``forgotten" exact solutions
    (quant-ph/0206085), preliminary version of the invited talk, CRM, Montreal, Autumn 2002, unpublished in this form





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