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

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About: PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 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 (en) 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. (cs)
Title	PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations (en) PT-symetrické modely ve více dimenzích a řešitelné pravoúhlojámové verze úhlových částí jejich Schroedingerových rovnic (cs)
skos:prefLabel	PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations PT symmetric models in more dimensions and solvable square-well versions of their angular Schrodinger equations (en) PT-symetrické modely ve více dimenzích a řešitelné pravoúhlojámové verze úhlových částí jejich Schroedingerových rovnic (cs)
skos:notation	RIV/61389005:_____/03:00101866!RIV/2005/AV0/A49005/N
http://linked.open.../vavai/riv/strany	7825;7838
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1048302), Z(AV0Z1048901)
http://linked.open...iv/cisloPeriodika	28
http://linked.open...vai/riv/dodaniDat	2005
http://linked.open...aciTvurceVysledku	Znojil, Miloslav
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	624228
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/03:00101866
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	non-Hermitian Hamiltonians;quantum-mechanics (en)
http://linked.open.../riv/klicoveSlovo	non-Hermitian Hamiltonians quantum-mechanics
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[74D0BFB0D20E]
http://linked.open...i/riv/nazevZdroje	Journal of Physics
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Quantum teory and pseudo-Hermitian Hamiltonians
http://linked.open...UplatneniVysledku	2003
http://linked.open...v/svazekPeriodika	36
http://linked.open...iv/tvurceVysledku	Znojil, Miroslav
http://linked.open...n/vavai/riv/zamer	Theoretical and experimental investigation of atomic nuclei and exploitation of nuclear methods in interdisciplinary research
issn	0305-4470
number of pages	14 (xsd:int)

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