Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-08-14
Physics
High Energy Physics
High Energy Physics - Theory
LATEX 4 pages. Based on a talk given by J. DABOUL at the at the XX International Colloquium on ``Group Theoretical Methods in
Scientific paper
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 $ so(4)$. We also generalize our results to the $N$-dimensional hydrogen atom. For odd $N$, we identify the dynamical algebra with the positive part of the twisted algebras $\hat {so}(N+1)^\tau$. However, for even $N$ this algebra corresponds to a parabolic subalgebra of the untwisted loop algebra $\hat{so}(N+1)$.
Daboul Claudia
Daboul Jamil
Slodowy P.
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