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

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.

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

References in corpus (2)

• A New Superintegrable Hamiltonian
• Symmetry reduction and superintegrable Hamiltonian systems

Cited by in corpus (1)

• Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions