Averaged wave operators in the problem of scattering by a Brownian particle (Q1812563)
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scientific article; zbMATH DE number 3560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Averaged wave operators in the problem of scattering by a Brownian particle |
scientific article; zbMATH DE number 3560 |
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Averaged wave operators in the problem of scattering by a Brownian particle (English)
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25 June 1992
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The author proves the existence of the wave operator for the Schrödinger equation in \(L^2(\mathbb{R}^3)\): \[ i {\partial\psi\over \partial t}= - \Delta \psi+ q(\cdot)\psi, \quad \psi|_{t= 0}= \psi_0 \] under suitable conditions on the potential \(q\).
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existence of the wave operator
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