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Solvable quantum lattices with nonlocal non-Hermitian endpoint interactions

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    SYSNO ASEP0448980
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleSolvable quantum lattices with nonlocal non-Hermitian endpoint interactions
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Number of authors1
    Source TitleAnnals of Physics. - : Elsevier - ISSN 0003-4916
    Roč. 361, OCT (2015), s. 226-246
    Number of pages21 s.
    Publication formPrint - P
    Languageeng - English
    CountryUS - United States
    Keywordsexactly solvable quantum models ; non-Hermitian boundary conditions ; new nonlocal boundary conditions ; physical inner products
    Subject RIVBE - Theoretical Physics
    Institutional supportUJF-V - RVO:61389005
    UT WOS000360418800016
    EID SCOPUS84936990053
    DOI10.1016/j.aop.2015.06.019
    AnnotationDiscrete 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.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2016
Number of the records: 1  

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