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math-ph2011★ 1 cited
Lie-algebraic interpretation of the maximal superintegrability and exact solvability of the Coulomb-Rosochatius potential in n dimensions
G. A. Kerimov, A. Ventura
The potential group method is applied to the n-dimensional Coulomb-Rosochatius potential, whose bound states and scattering states are worked out in detail. As far as scattering is…
math-ph2010★ 3 cited
Group-theoretical approach to a non-central extension of the Kepler-Coulomb problem
Gul-Mirza Kerimov, Alberto Ventura
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…
math-ph2008★ 1 cited
On algebraic models of relativistic scattering
G. A. Kerimov, A. Ventura
In this paper we develop an algebraic technique for building relativistic models in the framework of direct-interaction theories. The interacting mass operator M in the Bakamjian-T…