Representation Formula for Stochastic Schrödinger Evolution Equations and Applications
نویسندگان
چکیده
We prove a representation formula for solutions of Schrödinger equations with potentials multiplied by a temporal real-valued white noise in the Stratonovich sense. Using this formula, we obtain a dispersive estimate which allows us to study the Cauchy problem in L or in the energy space of model equations arising in Bose Einstein condensation [1] or in fiber optics [2]. Our results also give a justification of diffusion-approximation for stochastic nonlinear Schrödinger equations.
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