Averaged wave operators in the problem of scattering by a Brownian particle
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 \(q\).
scientific article; zbMATH DE number 3560