,Kepler Problem in Hamiltonian Formulation Discussed from Topological Viewpoint

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The Kepler problem in Hamiltonian formulation is discussed from a topological viewpoint. Topological properties for a set of cases designated with conserved quantities l, e and E(l, e) (0 ≤ e < 1) are expressed with actionangle variables. The involved canonical transformations are all carried out with classical Poisson brackets. Thus it is possible to extend such a formulation to corresponding quantum-mechanical study under quasi-classical conditions.
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