Convergence in Higher Mean of a Random Schrödinger to a Linear Boltzmann Evolution
نویسندگان
چکیده
منابع مشابه
Convergence in Higher Mean of a Random Schrödinger to a Linear Boltzmann Evolution
We study the macroscopic scaling and weak coupling limit for a random Schrödinger equation on Z. 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 ∈ R+. This extends previous results where convergence in expectation was established.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2006
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-006-0085-2