Convergence in higher mean of a random Schroedinger to a linear Boltzmann evolution

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dc.creatorChen, Thomas
dc.date2004-07-19
dc.date2006-05-16
dc.date.accessioned2026-07-07T06:38:31Z
dc.date.available2026-07-07T06:38:31Z
dc.descriptionWe study the macroscopic scaling and weak coupling limit for a random Schroedinger equation on Z^3. We prove that the Wigner transforms of a large class of "macroscopic" solutions converge in r-th mean to solutions of a linear Boltzmann equation, for any finite value of r in R_+. This extends previous results where convergence in expectation was established.
dc.descriptionAMS-Latex, 36 pages, 3 figures. Title reworded. Final version, to appear in Commun. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0407037
dc.identifierhttp://arxiv.org/abs/math-ph/0407037
dc.identifierComm. Math. Phys. 267, 355 - 392 (2006).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100760
dc.subjectMathematical Physics
dc.subject81Q10, 76Y05
dc.titleConvergence in higher mean of a random Schroedinger to a linear Boltzmann evolution
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