Nonlinear Phenomena in Complex Systems, 2003, Vol.6, No.4, pp.894-897

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2003, Vol.6, No.4, pp.894-897

Coulomb Scattering in the Lobachevsky Space
A.A. Bogush, Yu.A. Kurochkin, and V.S. Otchik

The problem of infinite motion of a particle in the field of Coulomb center in three dimensional Lobachevsky space is considered from both classical and quantum points of view. For a classical particle, an expression for deviation angle is obtained. In case of quantum mechanics, an exact solution of the Schrödinger equation is used for definition of the scattering amplitude. At large distances from the Coulomb center this solution behaves like a superposition of the incident and scattered waves. The expression for the differential cross section is obtained.
Key words: Lobachevsky space, Coulomb field, Schrödinger equation

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