The Schroedinger Equation with Potential in Random Motion

Abstract

We study Schroedinger's equation with a potential moving along a Brownian motion path. We prove a RAGE-type theorem and Strichartz estimates for the solution on average.

16 pages

References in corpus (1)

• The Schroedinger Equation with Potential in Rough Motion

Cited by in corpus (3)

• Endpoint Strichartz Estimates for Charge Transfer Hamiltonians
• A semilinear Schroedinger equation with random potential
• L^p Boundedness of the Scattering Wave Operators of Schroedinger Dynamics with Time-dependent Potentials and applications