In this review paper we describe the problem of deriving a Boltzmann equation for a system of N interacting quantum particles, under the appropriate scaling limits. We mainly follow the approach developed by the authors in previous works. From a rigorous viewpoint, only partial results are available, even for short times, so that the complete problem is still open.
A Short Review on the Derivation of the Nonlinear Quantum Boltzmann Equations / Benedetto, Dario; F., Castella; R., Esposito; Pulvirenti, Mario. - In: COMMUNICATIONS IN MATHEMATICAL SCIENCES. - ISSN 1539-6746. - STAMPA. - 5, Supplement:(2007), pp. 55-71.
A Short Review on the Derivation of the Nonlinear Quantum Boltzmann Equations
BENEDETTO, Dario;PULVIRENTI, Mario
2007
Abstract
In this review paper we describe the problem of deriving a Boltzmann equation for a system of N interacting quantum particles, under the appropriate scaling limits. We mainly follow the approach developed by the authors in previous works. From a rigorous viewpoint, only partial results are available, even for short times, so that the complete problem is still open.File allegati a questo prodotto
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