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Short-range oscillators in power-series picture

Miloslav Znojil
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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.

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Miloslav Znojil. 1999-09-22. Short-range oscillators in power-series picture. https://doi.org/10.1088/0305-4470%2F33%2F8%2F309

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