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Symmetrized exponential oscillator

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    0466575 - ÚJF 2017 RIV SG eng J - Journal Article
    Znojil, Miloslav
    Symmetrized exponential oscillator.
    Modern Physics Letters A. Roč. 31, č. 34 (2016), č. článku 1650195. ISSN 0217-7323. E-ISSN 1793-6632
    R&D Projects: GA ČR GA16-22945S
    Institutional support: RVO:61389005
    Keywords : quantum bound states * exactly solvable models * Bessel special funciton transcendental secular equation * numerical precision
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.165, year: 2016

    Several properties of bound states in potential V (x) = g(2) exp(vertical bar x vertical bar) are studied. Firstly, with the emphasis on the reliability of our arbitrary-precision construction, wave functions are considered in the two alternative (viz. asymptotically decreasing or regular) exact Bessel-function forms which obey the asymptotic or matching conditions, respectively. The merits of the resulting complementary transcendental secular equation approaches are compared and their applicability is discussed.
    Permanent Link: http://hdl.handle.net/11104/0264846

     
     
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