Nonlinear Phenomena in Complex Systems, 2008, Vol.11, No.4, pp.458-464

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2008, Vol.11, No.4, pp.458-464

Quantum Mechanical Kepler Problem on the Lobachevsky Plane.
Yu. A. Kurochkin and V. S. Otchik

The quantum mechanical Kepler-Coulomb problem on the Lobachevsky plane is considered. Symmetry algebra of conserved operators is used to derive the energy spectrum of the problem. Solutions of the Schrödinger equation in two different coordinate systems on the plane are obtained, and coefficients of mutual expansions of these solutions are presented.
Key words: Lobachevsky plane, Coulomb potential, Schrödinger equation

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