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  • Schroedinger equations for 'quantum toboggans' with real energies are given the generalized eigenvalue-problem form H psi = EW psi, where H not equal H-dagger and W not equal W-dagger not equal I. The consistent probabilistic interpretation of these models is provided. The new double-series formula for the necessary ad hoc metric Theta = Theta( H, W) is derived which defines the acceptable inner products in the physical Hilbert space of states. The formula degenerates to the usual single series in the non-tobogganic trivial-weight limit W -> I.
  • Schroedinger equations for 'quantum toboggans' with real energies are given the generalized eigenvalue-problem form H psi = EW psi, where H not equal H-dagger and W not equal W-dagger not equal I. The consistent probabilistic interpretation of these models is provided. The new double-series formula for the necessary ad hoc metric Theta = Theta( H, W) is derived which defines the acceptable inner products in the physical Hilbert space of states. The formula degenerates to the usual single series in the non-tobogganic trivial-weight limit W -> I. (en)
  • Schroedingerovy rovnice pro %22kvantové tobogány%22 s reálnými energiemi jsou napsány ve tvaru zobecněného problému vlastních hodnot. Je uvedena konsistentní pravděpodobnostní interpretace studovaných modelů. (cs)
Title
  • Identification of observables in quantum toboggans
  • Identifikace pozorovatelných v kvantových tobogánech (cs)
  • Identification of observables in quantum toboggans (en)
skos:prefLabel
  • Identification of observables in quantum toboggans
  • Identifikace pozorovatelných v kvantových tobogánech (cs)
  • Identification of observables in quantum toboggans (en)
skos:notation
  • RIV/61389005:_____/08:00312943!RIV09-AV0-61389005
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/07/1307), P(LC06002), Z(AV0Z10480505)
http://linked.open...iv/cisloPeriodika
  • 21
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  • 371236
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  • RIV/61389005:_____/08:00312943
http://linked.open...riv/jazykVysledku
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  • non-Hermitian Hamiltonians; PT-symmetric potentials; anharmonic-oscillators (en)
http://linked.open.../riv/klicoveSlovo
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  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [98C20B9E3DB0]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A-Mathematical and Theoretical
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http://linked.open...v/svazekPeriodika
  • 41
http://linked.open...iv/tvurceVysledku
  • Znojil, Miloslav
http://linked.open...ain/vavai/riv/wos
  • 000256387800018
http://linked.open...n/vavai/riv/zamer
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  • 1751-8113
number of pages
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