Group theoretic approach to rationally extended shape invariant potentials
Quantum Physics
2015-09-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The exact bound state spectrum of rationally extended shape invariant real as well as symmetric complex potentials are obtained by using potential group approach. The generators of the potential groups are modified by introducing a new operator to express the Hamiltonian corresponding to these extended potentials in terms of Casimir operators. Connection between the potential algebra and the shape invariance is elucidated.
Cite
@article{arxiv.1502.07455,
title = {Group theoretic approach to rationally extended shape invariant potentials},
author = {Rajesh Kumar Yadav and Nisha Kumari and Avinash Khare and Bhabani Prasad Mandal},
journal= {arXiv preprint arXiv:1502.07455},
year = {2015}
}
Comments
12 Pages, Latex