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arXiv · 1806.00761

New Solvable Potentials with Bound State Spectrum

Kazimierz Rajchel
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Abstract

A new family of solvable potentials related to the Schroedinger-Riccati equation has been investigated. This one-dimensional potential family depends on parameters and is restricted to the real interval. It is shown that this potential class, which is a rather general class of solvable potentials related to the hypergeometric functions, can be generalized to even wider classes of solvable potentials. As a consequence the nonlinear Schroedinger-type equation has been obtained.

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Kazimierz Rajchel. 2018-06-03. New Solvable Potentials with Bound State Spectrum. https://doi.org/10.5506/aphyspolb.48.757

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