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PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations
- 1.0101866 - UJF-V 20043049 RIV GB eng J - Journal Article
Znojil, Miloslav
PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations.
[PT-symetrické modely ve více dimenzích a řešitelné pravoúhlojámové verze úhlových částí jejich Schroedingerových rovnic.]
Journal of Physics. A - Mathematical and General Physics. Roč. 36, č. 28 (2003), s. 7825-7838. ISSN 0305-4470
R&D Projects: GA AV ČR IAA1048302
Institutional research plan: CEZ:AV0Z1048901
Keywords : non-Hermitian Hamiltonians * quantum-mechanics
Subject RIV: BE - Theoretical Physics
Impact factor: 1.357, year: 2003
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
Ukázáno, že komplexifikované a vhodně aproximované verze calogerovských a winternitzovských modelů vykazují reálná spektra s bohatší strukturou. Numericky ilustrováno na nejjednodušším netriviálním příkladě se čtvernou substrukturou spektra.
Permanent Link: http://hdl.handle.net/11104/0009253
Number of the records: 1