0384871 - ÚJF 2013 RIV US eng J - Článek v odborném periodiku
Znojil, Miloslav
N-site-lattice analogues of V(x) = ix(3).
Annals of Physics. Roč. 327, č. 3 (2012), s. 893-913. ISSN 0003-4916. E-ISSN 1096-035X
Grant CEP: GA ČR GAP203/11/1433; GA MŠMT LC06002
Institucionální podpora: RVO:61389005
Klíčová slova: cryptohermitian discrete Shcrodinger equation * spectral topology * metric operator
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 3.318, rok: 2012 ; AIS: 1.588, rok: 2012
DOI: https://doi.org/10.1016/j.aop.2011.12.009

A discrete N-level alternative to the popular imaginary cubic oscillator is proposed and studied. As usual, the unitarity of evolution is guaranteed by the introduction of an ad hoc, Hamiltonian-dependent inner-product metric, the use of which defines the physical Hilbert space and renders the Hamiltonian (with real spectrum) observable. Due to the simplicity of our model of dynamics the construction of the set of eligible metrics is shown tractable by non-numerical means which combine the computer-assisted algebra with the extrapolation and/or perturbation techniques.
Trvalý link: http://hdl.handle.net/11104/0216957