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N-site-lattice analogues of V(x) = ix(3)
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SYSNO ASEP 0384871 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title N-site-lattice analogues of V(x) = ix(3) Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI Number of authors 1 Source Title Annals of Physics. - : Elsevier - ISSN 0003-4916
Roč. 327, č. 3 (2012), s. 893-913Number of pages 21 s. Language eng - English Country US - United States Keywords cryptohermitian discrete Shcrodinger equation ; spectral topology ; metric operator Subject RIV BE - Theoretical Physics R&D Projects GAP203/11/1433 GA ČR - Czech Science Foundation (CSF) LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UJF-V - RVO:61389005 UT WOS 000300756300013 DOI https://doi.org/10.1016/j.aop.2011.12.009 Annotation 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. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2013
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