On the symmetry of commuting differential operators with singularities along hyperplanes
Mathematical Physics
2013-12-23 v2 math.MP
Abstract
We study the commutants of a Schr\"{o}dinger operator whose potential function possesses inverse square singularities along some hyperplanes passing through the origin. It is shown that the Weyl group symmetry of the potential function and the commutants naturally results from such singularities and the generic nature of the coupling constants.
Cite
@article{arxiv.math-ph/0309011,
title = {On the symmetry of commuting differential operators with singularities along hyperplanes},
author = {Kenji Taniguchi},
journal= {arXiv preprint arXiv:math-ph/0309011},
year = {2013}
}
Comments
19 pages