On the quantum Boltzmann equation

被引:69
作者
Erdös, L
Salmhofer, M
Yau, HT
机构
[1] Univ Munich, Math Inst, D-80333 Munich, Germany
[2] Max Planck Inst Math, D-04103 Leipzig, Germany
[3] Univ Leipzig, D-04109 Leipzig, Germany
[4] NYU, Courant Inst Math Sci, New York, NY 10012 USA
基金
美国国家科学基金会;
关键词
quantum Boltzmann equation; Schrodinger equation; quasifree states; many-fermion systems; Wigner transform;
D O I
10.1023/B:JOSS.0000037224.56191.ed
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrodinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreeness in the weak coupling limit at any later time. By definition, a state is called restricted quasifree if the four-point and the eight-point functions of the state factorize in the same manner as in a quasifree state.
引用
收藏
页码:367 / 380
页数:14
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