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On the Quantum Boltzmann Equation |
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| Authors: | Erdős László Salmhofer Manfred Yau Horng-Tzer |
| Affiliation: | 1.Mathematisches Institut, Universit?t München, Theresienstr. 39, München, D-80333, Germany ;2.Max–Planck Institute for Mathematics, Inselstr. 22, D-04103, Leipzig, Germany ;3.Theoretical Physics, University of Leipzig, Augustusplatz 10, D-04109, Leipzig, Germany ;4.Courant Institute of Mathematical Sciences, New York University, New York, New York, 10012 ; |
| Abstract: | We give a nonrigorous derivation of the nonlinear Boltzmann equation from the Schrödinger evolution of interacting fermions. The argument is based mainly on the assumption that a quasifree initial state satisfies a property called restricted quasifreenessin 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. |
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