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Identification of observables in quantum toboggans
- 1.0312943 - ÚJF 2009 RIV GB eng J - Journal Article
Znojil, Miloslav
Identification of observables in quantum toboggans.
[Identifikace pozorovatelných v kvantových tobogánech.]
Journal of Physics A-Mathematical and Theoretical. Roč. 41, č. 21 (2008), 215304/1-215304/14. ISSN 1751-8113. E-ISSN 1751-8121
R&D Projects: GA ČR GA202/07/1307; GA MŠMT LC06002
Institutional research plan: CEZ:AV0Z10480505
Keywords : non-Hermitian Hamiltonians * PT-symmetric potentials * anharmonic-oscillators
Subject RIV: BE - Theoretical Physics
Impact factor: 1.540, year: 2008
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.
Schroedingerovy rovnice pro "kvantové tobogány" s reálnými energiemi jsou napsány ve tvaru zobecněného problému vlastních hodnot. Je uvedena konsistentní pravděpodobnostní interpretace studovaných modelů.
Permanent Link: http://hdl.handle.net/11104/0163886
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