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

الأصل · EN

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.