Two-body quantum mechanical problem on spheres
Shchepetilov, Alexey V.
arXiv, 0507050 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-07-20
Classification:  Mathematical Physics,  43A85, 22E70, 57S25, 70G65 
@article{0507050,
     author = {Shchepetilov, Alexey V.},
     title = {Two-body quantum mechanical problem on spheres},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507050}
}

Shchepetilov, Alexey V. Two-body quantum mechanical problem on spheres. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507050/