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N-site-lattice analogues of V(x) = ix(3)

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    SYSNO ASEP0384871
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleN-site-lattice analogues of V(x) = ix(3)
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Number of authors1
    Source TitleAnnals of Physics. - : Elsevier - ISSN 0003-4916
    Roč. 327, č. 3 (2012), s. 893-913
    Number of pages21 s.
    Languageeng - English
    CountryUS - United States
    Keywordscryptohermitian discrete Shcrodinger equation ; spectral topology ; metric operator
    Subject RIVBE - Theoretical Physics
    R&D ProjectsGAP203/11/1433 GA ČR - Czech Science Foundation (CSF)
    LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    Institutional supportUJF-V - RVO:61389005
    UT WOS000300756300013
    DOI https://doi.org/10.1016/j.aop.2011.12.009
    AnnotationA 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.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2013
Number of the records: 1  

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