We build efficient and unitary (hence stable) methods for the solution of the linear time-dependent Schrödinger equation with explicitly time-dependent potentials in a semiclassical regime. The Magnus ...
Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...
The Annals of Applied Probability, Vol. 18, No. 2 (Apr., 2008), pp. 591-619 (29 pages) The paper is devoted to the study of nonlinear stochastic Schrödinger equations driven by standard cylindrical ...
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