The Boltzmann Equation for a One-Dimensional Quantum Lorentz Gas

被引：0
|
作者：
R. Esposito
M. Pulvirenti
A. Teta
机构：
[1] Dipartimento di Matematica pura ed Applicata,
[2] L' Aquila,undefined
[3] Italy,undefined
[4] Dipartimento di Matematica,undefined
[5] Roma “La Sapienza”,undefined
[6] Rome,undefined
[7] Italy,undefined
来源：
Communications in Mathematical Physics | 1999年 / 204卷
关键词：
Probability Distribution; Boltzmann Equation; Real Line; Wigner Function; Scatter Cross Section;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the macroscopic behavior of a quantum particle under the action of randomly distributed scatterers on the real line. Each scatterer generates a δ-potential. We prove that, in the low density limit, the Wigner function of the system converges to a probability distribution satisfying a classical linear Boltzmann equation, with a scattering cross section computed according to the Quantum Mechanical rules.
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页码：619 / 649
页数：30
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