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Semi-classical bounds on scattering cross sections in two dimensional magnetic fields

Published online by Cambridge University Press:  22 January 2016

Hideo Tamura
Hideo Tamura*
Affiliation:
Department of Mathematics, Ibaraki University, Mito, Ibaraki 310, Japanv, tamura@mito.ipc.ibaraki.ac.jp
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Abstract

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We prove the uniform boundedness of averaged total cross sections or of quantities related to scattering into cones in the semi-classical limit for scattering by two dimensional magnetic fields. We do not necessarily assume that the energy under consideration is in a non-trapping energy range in the sense of classical dynamics.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 147 , September 1997 , pp. 25 - 61
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1997

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