Symmetrized exponential oscillator

0466575 - ÚJF 2017 RIV SG eng J - Článek v odborném periodiku
Znojil, Miloslav
Symmetrized exponential oscillator.
Modern Physics Letters A. Roč. 31, č. 34 (2016), č. článku 1650195. ISSN 0217-7323. E-ISSN 1793-6632
Grant CEP: GA ČR GA16-22945S
Institucionální podpora: RVO:61389005
Klíčová slova: quantum bound states * exactly solvable models * Bessel special funciton transcendental secular equation * numerical precision
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 1.165, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0264846