HOMOGENIZATION OF THE SCHRÖDINGER EQUATION WITH LARGE, RANDOM POTENTIAL
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Publication:5414166
DOI10.1142/S0219493713500135zbMath1288.35047arXiv1311.6040OpenAlexW2153189741MaRDI QIDQ5414166
Publication date: 2 May 2014
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.6040
Random fields (60G60) Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (9)
Resonances for random highly oscillatory potentials ⋮ Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium ⋮ The weak coupling limit for the random Schrödinger equation: the average wave function ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2 ⋮ Radiative transport limit of Dirac equations with random electromagnetic field ⋮ The Schrödinger equation with spatial white noise: the average wave function ⋮ The Random Schrödinger Equation: Homogenization in Time-Dependent Potentials ⋮ Homogenization for the cubic nonlinear Schrödinger equation on R2 ⋮ Defect modes for dislocated periodic media
Cites Work
- On the asymptotic behavior of solutions of the heat equation with a random, long-range correlated potential
- Wave propagation and time reversal in randomly layered media.
- Kinetic limits for waves in a random medium
- Homogenization with Large Spatial Random Potential
- Convergence to Homogenized or Stochastic Partial Differential Equations
- Linear Boltzmann equation as the weak coupling limit of a random Schrödinger equation
- Derivation of the transport equation for electrons moving through random impurities
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