Exactly solvable Schr\"odinger operators
Mathematical Physics
2011-08-16 v2 math.MP
Quantum Physics
Abstract
We systematically describe and classify 1-dimensional Schr\"odinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe 2 new classes of exactly solvable Schr\"odinger equations that can be reduced to the Hermite equation.
Cite
@article{arxiv.1009.0541,
title = {Exactly solvable Schr\"odinger operators},
author = {Jan Dereziński and Michał Wrochna},
journal= {arXiv preprint arXiv:1009.0541},
year = {2011}
}
Comments
20 pages, v2