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PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations

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    SYSNO ASEP0101866
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitlePT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations
    TitlePT-symetrické modely ve více dimenzích a řešitelné pravoúhlojámové verze úhlových částí jejich Schroedingerových rovnic
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Source TitleJournal of Physics. A - Mathematical and General Physics - ISSN 0305-4470
    Roč. 36, č. 28 (2003), s. 7825-7838
    Number of pages14 s.
    Languageeng - English
    CountryGB - United Kingdom
    Keywordsnon-Hermitian Hamiltonians ; quantum-mechanics
    Subject RIVBE - Theoretical Physics
    R&D ProjectsIAA1048302 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z1048901 - UJF-V
    AnnotationFrom the partial differential Calogero's (three-body): and Smorodinsky-Wintemitz (superintegrable) Hamiltonians in two variables we separate the respective angular Schrodinger equations and study, the possibilities of their 'minimal' PT symmetric complexification.. The simultaneous loss of the Hermiticity and solvability of the respective angular potentials V(phi) is compensated by their replacement by solvable, purely imaginary and pieced wise constant multiple wells V-0(phi). We demonstrate that the spectrum remains real and that it exhibits a rich 'four series' structure in the double-well case
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2005
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