Two-body problem on spaces of constant curvature. I: Dependence of the Hamiltonian on the symmetry group and the reduction of the classical system

DOI10.1007/BF02551078zbMath1112.37312MaRDI QIDQ5941959

Alexey V. Shchepetilov

Publication date: 28 August 2001

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (6)

Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. ⋮ Unnamed Item ⋮ Two-body problem on spaces of constant curvature. II: Spectral properties of the Hamiltonian ⋮ Motion of test bodies with internal degrees of freedom in non-Euclidean spaces ⋮ Reduction and relative equilibria for the two-body problem on spaces of constant curvature ⋮ The spatial problem of 2 bodies on a sphere. Reduction and stochasticity

Cites Work

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• Some quantum mechanical problems in Lobachevsky space
• The restricted two-body problem and the Kepler problem in the constant curvature spaces.
• Integralrelationen Mathieuscher Funktionen. (Integral relation of Mathieu function)
• Two-body motion under the inverse square central force and equivalent geodesic flows
• The Kepler problem and geodesic flows in spaces of constant curvature
• Reduction of the two-body problem with central interaction on simply connected spaces of constant sectional curvature
• Regularization of kepler's problem and the averaging method on a manifold

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