0185102 - UJF-V 20000272 RIV GB eng J - Journal Article
Znojil, Miloslav
Short-range oscillators in power-series picture.
Journal of Physics. A - Mathematical and General Physics. Roč. 33, - (2000), s. 1647-1659. ISSN 0305-4470
R&D Projects: GA AV ČR IAA1048004
Subject RIV: BE - Theoretical Physics
Impact factor: 1.365, year: 2000

A class of short-range potentials on the line is considered as an asymptotically vanishing phenomenological alternative to the popular confining polynomials. We propose a method which parallels the analytic Hill-Taylor description of anharmonic oscillators and represents all our Jost solutions non-numerically, in terms of certain infinite hypergeometric-like series. In this way the well known solvable Rosen-Morse and scarf models are generalized.
Permanent Link: http://hdl.handle.net/11104/0081521