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Morse potential, symmetric Morse potential and bracketed bound-state energies

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    0460463 - ÚJF 2017 RIV SG eng J - Journal Article
    Znojil, Miloslav
    Morse potential, symmetric Morse potential and bracketed bound-state energies.
    Modern Physics Letters A. Roč. 31, č. 14 (2016), s. 1650088. ISSN 0217-7323
    R&D Projects: GA ČR GA16-22945S
    Institutional support: RVO:61389005
    Keywords : quantum bound states * special functions * Morse potential * symmetrized Morse potential * upper and lower energy estimates * computer-assisted symbolic manipulations
    Subject RIV: BE - Theoretical Physics
    Impact factor: 1.165, year: 2016

    For the needs of non-perturbative quantum theory, an upgraded concept of solvability is proposed. In a broader methodical context, the innovation involves Schrodinger equations which are piecewise analytic and piecewise solvable in terms of special (in our illustrative example, Whittaker) functions. In a practical implementation of our symbolic-manipulation-based approach, we work with a non-analyticity in the origin. A persuasive advantage is then found in the both-sidedness of our iterative localization of the energies.
    Permanent Link: http://hdl.handle.net/11104/0260617
     
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