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arXiv:0908.4289 [math.AP]AbstractReferencesReviewsResources

An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics

Sergey A. Denisov

Published 2009-08-28Version 1

We consider 3d Schrodinger operator with long-range potential that has short-range radial derivative. The long-time asymptotics of non-stationary problem is studied and existence of modified wave operators is proved. It turns out, the standard WKB correction should be replaced by the solution to certain evolution equation.

Comments: This is a preprint of an article whose final and definitive form has been published in Comm. Partial Differential Equations, available online at http://www.informaworld.com
Journal: Communications in Partial Differential Equations, Volume 33, Issue 2, 2008, pages 307 - 319
Categories: math.AP, math-ph, math.MP
Subjects: 35Q40
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