On the Quantum Boltzmann Equation

  • M. Pulvirenti
Conference paper
Part of the Trends in Mathematics book series (TM)


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.


Boltzmann Equation Wigner Function Quantum Kinetic Equation Nonlinear Boltzmann Equation Quantum Boltzmann Equation 
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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • M. Pulvirenti
    • 1
  1. 1.Dipartimento di MatematicaUniversità di Roma ‘La Sapienza’RomaItaly

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