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Two-body quantum mechanical problem on spheres

Alexey V. Shchepetilov
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Abstract

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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Alexey V. Shchepetilov. 2006-01-17. Two-body quantum mechanical problem on spheres. https://doi.org/10.1088/0305-4470%2F39%2F15%2F010

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