On the symmetry of commuting differential operators with singularities along hyperplanes
Taniguchi, Kenji
arXiv, 0309011 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-09-03
Classification:  Mathematical Physics,  81R12(Primary), 17B80(Secondary) 
@article{0309011,
     author = {Taniguchi, Kenji},
     title = {On the symmetry of commuting differential operators with singularities
  along hyperplanes},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0309011}
}

Taniguchi, Kenji. On the symmetry of commuting differential operators with singularities
  along hyperplanes. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309011/