On effects of non-Euclidean geometry in quantum theory
Abstract
Description
Theory of scattering of a quantum-mechanical particle on a cosmic string is developed. S-matrix and scattering amplitude are determined as functions of the flux and the tension of the string. We reveal that, in the case of the nonvanishing tension, the high-frequency limit of the differential scattering cross section does not coincide with the differential cross section for scattering of a classical pointlike particle on a string.
5 pages, talk given at: the International Workshop "Frontiers of Particle Astrophysics", June 21-24, 2004, Kyiv, Ukraine; the George Gamow Memorial International Conference "Astrophysics and Cosmology after Gamow - Theory and Observations", August 8-14, 2004, Odessa, Ukraine; the IV International Conference "Non-Euclidean Geometry in Modern Physics and Mathematics", September 7-11, 2004, Nizhny Novgorod, Russia
5 pages, talk given at: the International Workshop "Frontiers of Particle Astrophysics", June 21-24, 2004, Kyiv, Ukraine; the George Gamow Memorial International Conference "Astrophysics and Cosmology after Gamow - Theory and Observations", August 8-14, 2004, Odessa, Ukraine; the IV International Conference "Non-Euclidean Geometry in Modern Physics and Mathematics", September 7-11, 2004, Nizhny Novgorod, Russia