An Interdisciplinary Journal

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

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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Last updated: *January 9, 2004*