An Evolutions Equation as the Wkb Correction in Long-time Asymptotics of Schrödinger Dynamics
نویسنده
چکیده
We consider the 3–dimensional Schrödinger operator with slowly decaying potential whose radial derivatives are short-range. The long-time asymptotics for solution of the corresponding non-stationary equation is established. In this case, the standard WKB-correction should be replaced by the solution of certain evolution equation. Consider the Schrödinger operator H = −∆+ V, x ∈ R (1) In this paper, we assume that potential V (x) satisfies the following conditions: Conditions A: |V | < Cr , ∣
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