The Five-dimensional Kepler Problem as an Su(2) Gauge System: Algebraic Constraint Quantization
Year: 1996
Type: article
Abstract: 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.
Author: MICHAEL TRUNK
Institution: University of Freiburg
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2102024626