Quantum Boltzmann equations for binary interactions between identical particles |
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Authors: | Pagiotis Vasilopoulos Carolyn M. Van Vliet |
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Affiliation: | Centre de Recherches de Mathématiques Appliquées, Université de Montréal, Montréal, Qué. H3C3J7, Canada;Department of Electrical Engineering, University of Florida, Gainesville, FL 32611, USA |
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Abstract: | The inhomogeneous master equation obtained in a previous paper (by Van Vliet) is employed to obtain as first-moment equation two quantum mechanical Boltzmann equations (diagonal) for systems of weakly interacting identical particles. The interactions considered are of a binary nature: fermion-fermion or boson-boson. The resulting equations have the same structure as before. The total Boltzmann equation (diagonal and nondiagonal part) is also derived. |
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