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

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    0477442 - UJF-V 2018 RIV US eng J - Journal Article
    Znojil, Miloslav
    Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schrodinger equation.
    Physical Review A. Roč. 96, č. 1 (2017), č. článku 012127. ISSN 2469-9926
    R&D Projects: GA ČR GA16-22945S
    Institutional support: RVO:61389005
    Keywords : non-Hermitian * PT symmetric * bound states
    Subject RIV: BE - Theoretical Physics
    OBOR OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
    Impact factor: 2.909, year: 2017

    The 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.
    Permanent Link: http://hdl.handle.net/11104/0273794