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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 ASEP 0101866 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations Title PT-symetrické modely ve více dimenzích a řešitelné pravoúhlojámové verze úhlových částí jejich Schroedingerových rovnic Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Source Title Journal of Physics. A - Mathematical and General Physics - ISSN 0305-4470
Roč. 36, č. 28 (2003), s. 7825-7838Number of pages 14 s. Language eng - English Country GB - United Kingdom Keywords non-Hermitian Hamiltonians ; quantum-mechanics Subject RIV BE - Theoretical Physics R&D Projects IAA1048302 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z1048901 - UJF-V Annotation From 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 Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2005
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