Short-range oscillators in power-series picture
Quantum Physics
2009-10-31 v1
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.
Cite
@article{arxiv.quant-ph/9909068,
title = {Short-range oscillators in power-series picture},
author = {Miloslav Znojil},
journal= {arXiv preprint arXiv:quant-ph/9909068},
year = {2009}
}
Comments
23 pages, latex, submitted to J. Phys. A: Math. Gen