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math-ph2015★ 1 cited
The random Schrödinger equation: slowly decorrelating time-dependent potentials
Yu Gu, Lenya Ryzhik
We analyze the weak-coupling limit of the random Schrödinger equation with low frequency initial data and a slowly decorrelating random potential. For the probing signal with a suf…
math-ph2015★ 1 cited
The random Schrödinger equation: homogenization in time-dependent potentials
Yu Gu, Lenya Ryzhik
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…