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

0460463 - ÚJF 2017 RIV SG eng J - Článek v odborném periodiku
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. E-ISSN 1793-6632
Grant CEP: GA ČR GA16-22945S
Institucionální podpora: RVO:61389005
Klíčová slova: quantum bound states * special functions * Morse potential * symmetrized Morse potential * upper and lower energy estimates * computer-assisted symbolic manipulations
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.165, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0260617