New Solvable Potentials with Bound State Spectrum
Mathematical Physics
2018-06-05 v1 math.MP
Quantum Physics
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.
Cite
@article{arxiv.1806.00761,
title = {New Solvable Potentials with Bound State Spectrum},
author = {Kazimierz Rajchel},
journal= {arXiv preprint arXiv:1806.00761},
year = {2018}
}
Comments
Acta Physica Polonica B, Vol. 48 (2017)