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Linear representation of energy-dependent Hamiltonians

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    SYSNO ASEP0101868
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitleLinear representation of energy-dependent Hamiltonians
    TitleLineární reprezentace Hamiltoniánů závislých na energii
    Author(s) Znojil, Miloslav (UJF-V) RID, ORCID, SAI
    Source TitlePhysics Letters. A. - : Elsevier - ISSN 0375-9601
    Roč. 326, 1/2 (2004), s. 70-76
    Number of pages7 s.
    Languageeng - English
    CountryNL - Netherlands
    Keywordsenergy-dependent Hamiltonians ; Quasi-Hermitian linear representation
    Subject RIVBE - Theoretical Physics
    R&D ProjectsIAA1048302 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z1048901 - UJF-V
    AnnotationQuantum mechanics abounds in models with Hamiltonian operators which are energy-dependent. A linearization of the underlying Schrodinger equation with H = H(E) is proposed here via an introduction of a doublet of separate energy-independent representatives K and L of the respective right and left action of H(E). Both these new operators are non-Hermitian so that our formalism admits a natural extension to non-Hermitian initial H(E)s. Its applicability may range from pragmatic phenomenology and variational calculations (where all the subspace-projected effective operators depend on energy by construction) up to perturbation theory and quasi-exact constructions
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228
    Year of Publishing2005
Number of the records: 1  

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