Superintegrable systems with position dependent mass
Mathematical Physics
2020-07-16 v6 math.MP
Abstract
First order integrals of motion for Schr\"odinger equations with position dependent masses are classified. Seventeen classes of such equations with non-equivalent symmetries are specified. They include integrable, superintegrable and maximally superintegrable systems. Among them is a system invariant with respect to the Lie algebra of Lorentz group and a system whose integrals of motion form algebra so(4). Three of the obtained systems are solved exactly.
Cite
@article{arxiv.1406.2006,
title = {Superintegrable systems with position dependent mass},
author = {A. G. Nikitin and T. M. Zasadko},
journal= {arXiv preprint arXiv:1406.2006},
year = {2020}
}
Comments
The classification results are presented in Table 2 in a more consolidated form. Former line 15 in Table 2 is deleted