Two body problem on two point homogeneous spaces, invariant differential operators and the mass center concept

Details Two body problem on two point homogeneous spaces, invariant differential operators and the mass center concept Two body problem on two point homogeneous spaces, invariant differential operators and the mass center concept

2002-03-25

arxiv.org/abs/math-ph/0203050v2

Journal of Geometry and Physics, V.48 (2003), N.2/3, pp.245-274.

Physics

Mathematical Physics

26 pages, LaTeX, no figures, text improved

Scientific paper

10.1016/S0393-0440(03)00043-3

We consider the two body problem with central interaction on two point homogeneous spaces from point of view of the invariant differential operators theory. The representation of the two particle Hamiltonian in terms of the radial differential operator and invariant operators on the symmetry group is found. The connection of different mass center definitions for these spaces to the obtained expression for Hamiltonian operator is studied.

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