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Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schrodinger equation

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    SYSNO ASEP0477442
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleBound states emerging from below the continuum in a solvable PT-symmetric discrete Schrodinger equation
    Author(s) Znojil, Miloslav (UJF-V) RID
    Number of authors1
    Article number012127
    Source TitlePhysical Review A - ISSN 2469-9926
    Roč. 96, č. 1 (2017)
    Number of pages12 s.
    Publication formPrint - P
    Languageeng - English
    CountryUS - United States
    Keywordsnon-Hermitian ; PT symmetric ; bound states
    Subject RIVBE - Theoretical Physics
    OBOR OECDAtomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    R&D ProjectsGA16-22945S GA ČR - Czech Science Foundation (CSF)
    Institutional supportUJF-V - RVO:61389005
    UT WOS000406517500002
    EID SCOPUS85026799665
    DOI10.1103/PhysRevA.96.012127
    AnnotationThe phenomenon of the birth of an isolated quantum bound state at the lower edge of the continuum is studied for a particle moving along a discrete real line of coordinates x is an element of Z. The motion is controlled by a weakly nonlocal 2J- parametric external potential V which is non-Hermitian but PT symmetric. The model is found exactly solvable. The bound states are interpreted as Sturmians. Their closed-form definitions are presented and discussed up to J = 7.
    WorkplaceNuclear Physics Institute
    ContactMarkéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 ; Renata Glasová, glasova@ujf.cas.cz, Tel.: 266 177 223
    Year of Publishing2018