The Random Schrödinger Equation: Homogenization in Time-Dependent Potentials
نویسندگان
چکیده
منابع مشابه
The Random Schrödinger Equation: Homogenization in Time-Dependent Potentials
We analyze the solutions of the Schrödinger equation with the low frequency initial data and a time-dependent weakly random potential. We prove a homogenization result for the low frequency component of the wave field. We also show that the dynamics generates a non-trivial energy in the high frequencies, which do not homogenize – the high frequency component of the wave field remains random and...
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Article history: Received 3 November 2009 Accepted 21 November 2009 Available online xxxx
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2016
ISSN: 1540-3459,1540-3467
DOI: 10.1137/15m1024986