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Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions

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    0448980 - ÚJF 2016 RIV US eng J - Journal Article
    Znojil, Miloslav
    Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions.
    Annals of Physics. Roč. 361, OCT (2015), s. 226-246. ISSN 0003-4916
    Institutional support: RVO:61389005
    Keywords : exactly solvable quantum models * non-Hermitian boundary conditions * new nonlocal boundary conditions * physical inner products
    Subject RIV: BE - Theoretical Physics
    Impact factor: 2.375, year: 2015

    Discrete multiparametric 1D quantum well with PT-symmetric long-range boundary conditions is proposed and studied. As a nonlocal descendant of the square well families endowed with Dirac (i.e., Hermitian) and with complex Robin (i.e., non-Hermitian but still local) boundary conditions, the model is shown characterized by the survival of solvability in combination with an enhanced spectral-design flexibility. The solvability incorporates also the feasibility of closed-form constructions of the physical Hilbert-space inner products rendering the time-evolution unitary.
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