A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem

被引：11
作者：
Arkeryd, L. [1 ]
机构：
[1] Chalmers, Math Sci, S-41296 Gothenburg, Sweden
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 298卷 / 02期
关键词：
FOURIER INTEGRAL-OPERATORS; FRACTIONAL-STATISTICS; PARTICLES; COMPACTNESS;
D O I：
10.1007/s00220-010-1046-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The paper considers equations of Boltzmann type for Haldane exclusion statistics. Existence and some basic properties of the solutions are studied for the space homogeneous initial value problem with hard forces and angular cut-off. The approach uses strong L(1) compactness. Some of the technical estimates are based on L(infinity) decay properties, and the control of the filling factor on range estimates for the solutions.
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页码：573 / 583
页数：11
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