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Scattering theory for the Wigner equation

✍ Scribed by Hassan Emamirad; Philippe Rogeon

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
140 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We prove that the Wigner equation is well‐posed in L^p^(ℝ^2__n__^) for some potential V. From the formalism established by Markovich, we show the completeness of wave operators for the Wigner equation in L^2^. Using estimations proved by Castella and Perthame, on the one hand, and the L^p^β†’L^q^ estimations for the SchrΓΆdinger group, on the other hand, we prove the existence of the wave operators in L^2,p^ spaces. Copyright Β© 2005 John Wiley & Sons, Ltd.

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