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A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem

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Abstract

The paper considers equations of Boltzmann type for Haldane exclusion statistics. Existence and some basic properties of the solutions are studied for the space homogeneous initial value problem with hard forces and angular cut-off. The approach uses strong L 1 compactness. Some of the technical estimates are based on L ∞ decay properties, and the control of the filling factor on range estimates for the solutions.

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  1. Mathematical Sciences, Chalmers, S-41296, Gothenburg, Sweden

    L. Arkeryd

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  1. L. Arkeryd
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Correspondence to L. Arkeryd.

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Communicated by H. Spohn

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Arkeryd, L. A Quantum Boltzmann Equation for Haldane Statistics and Hard Forces; the Space-Homogeneous Initial Value Problem. Commun. Math. Phys. 298, 573–583 (2010). https://doi.org/10.1007/s00220-010-1046-3

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  • DOI: https://doi.org/10.1007/s00220-010-1046-3

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