Quantization of the Kepler manifold

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

A representation ofSO(2,n+1), the maximal finite dimensional dynamical
group of then-dimensional Kepler problem, is obtained by means of
(pseudo) differential operators acting onL 2(S n ). This representation
is unitary when restricted toSO(2) ⊗SO (n+1), i.e. to the
physically relevant subgroup.

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