Symmetry and Dynamics
Date
1968-05
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Abstract
The relation between symmetry groups and dynamics is studied, The study is concentrated on the two well known classical systems, namely, the Kepler problem and the isotropic harmonic oscillator. An extensive study of these two systems is conducted by applying the theory of transformations and the theory of Lie groups. The relation between symmetry and degeneracy will be shown and several methods to construct generators of the Lie groups 0(4) and SU(3) for the Kepler and harmonic oscillator problems are discussed.
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Keywords
Group theory, Dynamics