New Two-Dimensional Quantum Models with Shape Invariance
High Energy Physics - Theory
2015-05-20 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
Two-dimensional quantum models which obey the property of shape invariance are built in the framework of polynomial two-dimensional SUSY Quantum Mechanics. They are obtained using the expressions for known one-dimensional shape invariant potentials. The constructed Hamiltonians are integrable with symmetry operators of fourth order in momenta, and they are not amenable to the conventional separation of variables.
Cite
@article{arxiv.1101.0793,
title = {New Two-Dimensional Quantum Models with Shape Invariance},
author = {F. Cannata and M. V. Ioffe and D. N. Nishnianidze},
journal= {arXiv preprint arXiv:1101.0793},
year = {2015}
}
Comments
16 p.p., a few new references added