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Radiative transport limit for the random Schrödinger equation

Authors :
George Papanicolaou
Leonid Ryzhik
Guillaume Bal
Source :
Nonlinearity. 15:513-529
Publication Year :
2002
Publisher :
IOP Publishing, 2002.

Abstract

We give a detailed mathematical analysis of the radiative transport limit for the average phase space density of solutions of the Schroedinger equation with time dependent random potential. Our derivation is based on the construction of an approximate martingale for the random Wigner distribution.

Subjects

Subjects :
Physics
Random potential
Applied Mathematics
010102 general mathematics
General Physics and Astronomy
Statistical and Nonlinear Physics
Nonlinear Sciences - Chaotic Dynamics
01 natural sciences
Radiative transport
Schrödinger equation
010101 applied mathematics
symbols.namesake
Phase space
symbols
Wigner distribution function
0101 mathematics
Martingale (probability theory)
Mathematical Physics
Mathematical physics

Details

ISSN :
13616544 and 09517715
Volume :
15
Database :
OpenAIRE
Journal :
Nonlinearity
Accession number :
edsair.doi.dedup.....0542e4206ed331a87e6a2dc1b726608a

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