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  • Ukazujeme,že Coxeterovy grupy dovolují komplexní PT-symetrické deformace přes hranice všech Weylových buněk.Počítáme explicitně deformace pro Coxeterovy grupy A(2) a G(2). Tyto konstrukce aplikujeme na Calogero-Moser-Sutherlandovy modely invariantní vůči rozšířeným Coxeterovým grupám. Vlastní spektra deformovaných modelů jsou reálná a obsahují spektra nedeformovaných modelů jako svoje podmnožiny. (cs)
  • We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A(2) and G(2)-Coxeter group and apply these constructions to Calogero-Moser-Sutherland models invariant under the extended Coxeter groups. The eigenspectra for the deformed models are real and contain the spectra of the undeformed case as subsystems.
  • We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A(2) and G(2)-Coxeter group and apply these constructions to Calogero-Moser-Sutherland models invariant under the extended Coxeter groups. The eigenspectra for the deformed models are real and contain the spectra of the undeformed case as subsystems. (en)
Title
  • PT-symmetric deformations of Calogero models
  • PT-symetrické deformace Calogerových modelů (cs)
  • PT-symmetric deformations of Calogero models (en)
skos:prefLabel
  • PT-symmetric deformations of Calogero models
  • PT-symetrické deformace Calogerových modelů (cs)
  • PT-symmetric deformations of Calogero models (en)
skos:notation
  • RIV/61389005:_____/08:00322458!RIV09-AV0-61389005
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • 19
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  • 391013
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  • RIV/61389005:_____/08:00322458
http://linked.open...riv/jazykVysledku
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  • non-Hermitian Hamiltonians; one dimension; operators (en)
http://linked.open.../riv/klicoveSlovo
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [A93C252FEB24]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A-Mathematical and Theoretical
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  • 41
http://linked.open...iv/tvurceVysledku
  • Znojil, Miloslav
  • Fring, A.
http://linked.open...ain/vavai/riv/wos
  • 000255660300011
http://linked.open...n/vavai/riv/zamer
issn
  • 1751-8113
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