Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.3, pp.264-270

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.3, pp.264-270

Scattering by a Dyon in the Lobachevsky Space.
Yu. Kurochkin, V. Otchik, and Dz. Shoukavy

The quantum mechanical problem of infinite motion in the dual charged Coulomb field in the space of constant negative curvature ¹S₃ is considered. In the case of the dyon potential with an additional centrifugal term (MIC-Kepler problem), the exact solution of the Schrödinger equation in parabolic coordinates is used to determine the scattering amplitude. The expression for the differential cross section is presented.
Key words: Lobachevsky space, Coulomb field, Schrödinger equation, cross section

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