On the Quantum Boltzmann Equation
In this contribution I describe the problem of deriving a Boltzmann equation for a system of N interacting quantum particles under suitable scaling limits. From a rigorous viewpoint, the problem is still open and only partial results are available, even for short times. The present report is based on a systematic collaboration with D. Benedetto, F. Castella and R. Esposito: possible mistakes and inconsistencies are however the responsibility of the author.
KeywordsBoltzmann Equation Wigner Function Quantum Kinetic Equation Nonlinear Boltzmann Equation Quantum Boltzmann Equation
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