Convergence to SPDE of the Schrödinger equation with large, random potential
نویسندگان
چکیده
منابع مشابه
Homogenization of the Schrödinger equation with large, random potential
We study the behavior of solutions to a Schrödinger equation with large, rapidly oscillating, mean zero, random potential with Gaussian distribution. We show that in high dimension d > m, where m is the order of the spatial pseudo-differential operator in the Schrödinger equation (with m = 2 for the standard Laplace operator), the solution converges in the L sense uniformly in time over finite ...
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ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2014
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2014.v12.n5.a2