Double Shape Invariance of Two-Dimensional Singular Morse Model
High Energy Physics - Theory
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
A second shape invariance property of the two-dimensional generalized Morse potential is discovered. Though the potential is not amenable to conventional separation of variables, the above property allows to build purely algebraically part of the spectrum and corresponding wave functions, starting from {\it one} definite state, which can be obtained by the method of -separation of variables, proposed recently.
Cite
@article{arxiv.hep-th/0504077,
title = {Double Shape Invariance of Two-Dimensional Singular Morse Model},
author = {F. Cannata and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:hep-th/0504077},
year = {2009}
}
Comments
9 pages