Quasi-Exactly Solvable Schr\"odinger Operators in Three Dimensions
Differential Geometry
2008-04-25 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schr\"odinger operators in three dimensions.
Cite
@article{arxiv.0709.4528,
title = {Quasi-Exactly Solvable Schr\"odinger Operators in Three Dimensions},
author = {Mélisande Fortin Boisvert},
journal= {arXiv preprint arXiv:0709.4528},
year = {2008}
}
Comments
Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/