Linear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation

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dc.creatorErdos, L.
dc.creatorYau, H. -T.
dc.date1999-01-25
dc.date.accessioned2026-07-07T04:32:40Z
dc.date.available2026-07-07T04:32:40Z
dc.descriptionWe study the time evolution of a quantum particle in a Gaussian random environment. We show that in the weak coupling limit the Wigner distribution of the wave function converges to a solution of a linear Boltzmann equation globally in time. The Boltzmann collision kernel is given by the Born approximation of the quantum differential scattering cross section.
dc.description8 figures plus a style file called nume2.tex
dc.identifierhttps://arxiv.org/abs/math-ph/9901020
dc.identifierhttp://arxiv.org/abs/math-ph/9901020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58275
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject76Y05
dc.titleLinear Boltzmann Equation as the Weak Coupling Limit of a Random Schrodinger Equation
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