Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem
Mathematical Physics
2015-05-18 v1 math.MP
Abstract
Bound and scattering states of a non-central extension of the three-dimensional Kepler-Coulomb Hamiltonian are worked out analytically within the framework of the potential groups of the problem, SO(7) for bound states and SO(6,1) for scattering states. In the latter case, the S matrix is calculated by the method of intertwining operators.
Keywords
Cite
@article{arxiv.1005.1215,
title = {Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem},
author = {Gul-Mirza Kerimov and Alberto Ventura},
journal= {arXiv preprint arXiv:1005.1215},
year = {2015}
}
Comments
12 pages, to appear in J. Phys. A : Math. Theor