In this paper, an analysis of the Wigner function (WF) for identical fermions is presented. Three situations have been analyzed. i) A scattering process between two indistinguishable electrons in minimum uncertainty wavepackets showing the exchange and correlation hole in Wigner phase space. ii) An equilibrium ensemble of N electrons in a box showing that the WF integrated over space assumes the shape of a Fermi distribution even for very small N. iii) The reduced one-particle transport-equation for the WF in the case of interacting electrons showing the first contribution to the BBGKY hierarchy.
Exchange effects in the Wigner-function approach / E., Cancellieri; Bordone, Paolo; Jacoboni, Carlo. - STAMPA. - 110:(2006), pp. 167-170. (Intervento presentato al convegno 14th International Conference on Nonequilibrium Carrier Dynamics in Semiconductors tenutosi a Chicago, IL, USA nel 25-29 Luglio 2005).
Exchange effects in the Wigner-function approach
BORDONE, Paolo;JACOBONI, Carlo
2006
Abstract
In this paper, an analysis of the Wigner function (WF) for identical fermions is presented. Three situations have been analyzed. i) A scattering process between two indistinguishable electrons in minimum uncertainty wavepackets showing the exchange and correlation hole in Wigner phase space. ii) An equilibrium ensemble of N electrons in a box showing that the WF integrated over space assumes the shape of a Fermi distribution even for very small N. iii) The reduced one-particle transport-equation for the WF in the case of interacting electrons showing the first contribution to the BBGKY hierarchy.Pubblicazioni consigliate
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