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

  title={Group-theoretical approach to a non-central extension of the Kepler–Coulomb problem},
  author={G. A. Kerimov and Alessandro Ventura},
  journal={Journal of Physics A: Mathematical and Theoretical},
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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