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

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

2009-08-28

arxiv.org/abs/0908.4289v1

Communications in Partial Differential Equations, Volume 33, Issue 2, 2008, pages 307 - 319

Mathematics

Analysis of PDEs

This is a preprint of an article whose final and definitive form has been published in Comm. Partial Differential Equations, a

Scientific paper

10.1080/03605300701249655

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.

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