Short-range oscillators in power-series picture

Details Short-range oscillators in power-series picture Short-range oscillators in power-series picture

1999-09-22

arxiv.org/abs/quant-ph/9909068v1

J. Phys. A: Math. Gen. 33 (2000) 1647-59

Physics

Quantum Physics

23 pages, latex, submitted to J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/33/8/309

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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