The Dynamical Algebra of the Hydrogen Atom as a Twisted Loop Algebra
arXiv:hep-th/9408080
Abstract
We show that the dynamical symmetry of the hydrogen atom leads in a natural way to an infinite-dimensional algebra, which we identify as the positive subalgebras of twisted Kac-Moody algebras of . We also generalize our results to the -dimensional hydrogen atom. For odd , we identify the dynamical algebra with the positive part of the twisted algebras . However, for even this algebra corresponds to a parabolic subalgebra of the untwisted loop algebra .
LATEX 4 pages. Based on a talk given by J. DABOUL at the at the XX International Colloquium on ``Group Theoretical Methods in Physics", Osaka, July 3-9, 1994}