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The Sl(5r) Lie Invariance Transformation Group For The 3-Dimensional Classical Kepler Problem : A Preparation, And Induced Group Structure Algorithm Derivation, Mark Paul Merner
The Sl(5r) Lie Invariance Transformation Group For The 3-Dimensional Classical Kepler Problem : A Preparation, And Induced Group Structure Algorithm Derivation, Mark Paul Merner
University of the Pacific Theses and Dissertations
Recently,1 an algorithm has been derived for the explicit determination of an induced SL (n+2,R) Lie invariance transformation group for a completely integrable 2n - dimensional dynamical system defined on IR2n from that known for a free particle system with n degree of freedom. 2 In particular, the universal transitive Lie invariance transformation group for both the isotropic harmonic oscillator3 and the anharmonic oscillator4 (quartic potential) has been obtained by this algorithm. Further,5 it has been shown in theory and by example that a complete set of functionally independent constants of motion corresponds to an …