The five-dimensional Kepler Problem as an SU(2) Gauge System: Algebraic Constraint Quantization

Details The five-dimensional Kepler Problem as an SU(2) Gauge System: Algebraic Constraint Quantization The five-dimensional Kepler Problem as an SU(2) Gauge System: Algebraic Constraint Quantization

1995-10-05

arxiv.org/abs/hep-th/9510019v1

Int.J.Mod.Phys. A11 (1996) 2329-2356

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex, no figures

Scientific paper

Starting from the structural similarity between the quantum theory of gauge systems and that of the Kepler problem, an SU(2) gauge description of the five-dimensional Kepler problem is given. This non-abelian gauge system is used as a testing ground for the application of an algebraic constraint quantization scheme which can be formulated entirely in terms of observable quantities. For the quantum mechanical reduction only the quadratic Casimir of the constraint algebra, interpreted as an observable, is needed.

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