A generalized quantum nonlinear oscillator
Quantum Physics
2015-05-14 v1 Mathematical Physics
math.MP
Abstract
We examine various generalizations, e.g. exactly solvable, quasi-exactly solvable and non-Hermitian variants, of a quantum nonlinear oscillator. For all these cases, the same mass function has been used and it has also been shown that the new exactly solvable potentials possess shape invariance symmetry. The solutions are obtained in terms of classical orthogonal polynomials.
Keywords
Cite
@article{arxiv.0910.3179,
title = {A generalized quantum nonlinear oscillator},
author = {Bikashkali Midya and Barnana Roy},
journal= {arXiv preprint arXiv:0910.3179},
year = {2015}
}