Physics – Mathematical Physics
Scientific paper
2003-09-03
Physics
Mathematical Physics
19 pages
Scientific paper
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.
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