Summary
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.
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Reference
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Pulvirenti, M. (2004). On the Quantum Boltzmann Equation. In: Blanchard, P., Dell’Antonio, G. (eds) Multiscale Methods in Quantum Mechanics. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8202-6_11
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DOI: https://doi.org/10.1007/978-0-8176-8202-6_11
Publisher Name: Birkhäuser, Boston, MA
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