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An Effective SPDE Model for a Schrödinger Equation with a Fluctuating Magnetic Potential

Flandoli, Franco et al.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsprobability
We consider the Schrödinger equation for a charged particle in a randomly fluctuating external magnetic field and establish a singular perturbation limit in which the solution converges to a deterministic Schrödinger equation with Gaussian fluctuations. We propose a stochastic Schrödinger equation i
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