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Linear alternative to the Boltzmann equation without linearization: II. Electron-electron scattering

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Czechoslovak Journal of Physics Aims and scope

Abstract

A new form of projector suggested in the previous paper of the series is applied to Time-Convolutionless Generalized Master Equations (TCL-GME) and the problem of spinless interacting electron gas with finite concentration. As a result, a closedlinear kinetic equation for the single-electron density matrix (Wigner distribution function) is obtained. In the second order in the short range interaction and after a short period of forgetting details of initial conditions, a new linear equation with time-independent coefficients results providing a linear alternative to the famous Boltzmann-Uehling-Uhlenbeck equation for quantum gases.

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Author notes

  1. V. Čápek

    Present address: Faculty of Mathematics and Physics, Institute of Physics of Charles University, Ke Karlovu 5, 121 16, Prague 2, Czech Republic

Authors and Affiliations

  1. International Centre for Theoretical Physics, P.O. Box 586, 34100, Trieste, Italy

    V. Čápek

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  1. V. Čápek
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Additional information

The author is really grateful to the International Centre for Theoretical Physics, Trieste for invitation to the Research Workshop on Condensed Matter Physics 1993 where a greater part of this work was completed.

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Čápek, V. Linear alternative to the Boltzmann equation without linearization: II. Electron-electron scattering. Czech J Phys 44, 763–770 (1994). https://doi.org/10.1007/BF01700643

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