Exact solvability of PDM systems with extended Lie symmetries
Mathematical Physics
2020-07-16 v1 math.MP
Abstract
It is shown that all PDM Schroedinger equations admitting more than five dimensional Lie symmetry algebras (whose completed list can be found in paper~[{\it J.~Math. Phys.} {\bf 58}, , 083508 (2017)] are exactly solvable. The corresponding exact solutions are presented. The supersymmetric aspects of the exactly solvable systems are discussed.
Keywords
Cite
@article{arxiv.1910.07412,
title = {Exact solvability of PDM systems with extended Lie symmetries},
author = {A. G. Nikitin},
journal= {arXiv preprint arXiv:1910.07412},
year = {2020}
}
Comments
16 pages