Two-body quantum mechanical problem on spheres

Details Two-body quantum mechanical problem on spheres Two-body quantum mechanical problem on spheres

2005-07-20

arxiv.org/abs/math-ph/0507050v3

J. Phys. A: Math. Gen. 39 (2006) 4011-4046

Physics

Mathematical Physics

41 pages, no figures, typos corrected; appendix D was added

Scientific paper

10.1088/0305-4470/39/15/010

The quantum mechanical two-body problem with a central interaction on the
sphere ${\bf S}^{n}$ is considered. Using recent results in representation
theory an ordinary differential equation for some energy levels is found. For
several interactive potentials these energy levels are calculated in explicit
form.

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