Short-range oscillators in power-series picture
arXiv:quant-ph/9909068 · doi:10.1088/0305-4470/33/8/309
Abstract
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.
23 pages, latex, submitted to J. Phys. A: Math. Gen