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arXiv · 0908.4289

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

Sergey A. Denisov
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Abstract

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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Sergey A. Denisov. 2009-08-28. An evolution equation as the WKB correction in long-time asymptotics of Schrodinger dynamics. https://doi.org/10.1080/03605300701249655

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