Nonlinear Phenomena in Complex Systems, 2005, Vol.8, No.1, pp.19-26

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2005, Vol.8, No.1, pp.19-26

Symmetry and Interbasis Expansions in the MIC-Kepler Problem in Lobachevsky Space.
Yu.A. Kurochkin and V.S. Otchik

The quantum mechanical problem of motion in the Coulomb field of a dyon modified by a centrifugal term (MIC-Kepler problem) is considered in the three-dimensional Lobachevsky space. Conserved operators in this problem form a cubic algebra. This symmetry algebra is used to obtain the coefficients of expansions connecting solutions of Schrödinger equation found by separation of variables in different systems of coordinates.
Key words: Lobachevsky space, Coulomb field, Schrödinger equation

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