Geodesic
Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 248-263 
A. V. Shchepetilov. Quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 2, pp. 248-263. http://geodesic.mathdoc.fr/item/TMF_1999_118_2_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the quantum mechanical two-body problem with central interaction on simply connected constant-curvature surfaces. Using the group isometries, we obtain systems of ordinary differential equations for the energy levels. We prove that the Hamiltonian is self-adjoint for several interaction potentials. For the sphere, a number of energy series are evaluated for bodies with equal masses.

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