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Fluctuations of solutions to Wigner equation with an Ornstein-Uhlenbeck potential
2012
Discrete and continuous dynamical systems. Series B
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We consider energy fluctuations for solutions of the Schrödinger equation with an Ornstein-Uhlenbeck random potential when the initial data is spatially localized. The limit of the fluctuations of the Wigner transform satisfies a kinetic equation with random initial data. This result generalizes that of [13] where the random potential was assumed to be white noise in time.
doi:10.3934/dcdsb.2012.17.871
fatcat:4mb7lftmg5etzgkji2ylanurx4