Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem

Details Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem

2010-05-07

arxiv.org/abs/1005.1215v1

J. Phys. A : Math. Theor. 43 (2010) 255304 : 1-10

Physics

Mathematical Physics

12 pages, to appear in J. Phys. A : Math. Theor

Scientific paper

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.

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