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.
14th International Conference on Nonequilibrium Carrier Dynamics in Semiconductors
Chicago, IL, USA
25-29 Luglio 2005
110
167
170
E., Cancellieri; Bordone, Paolo; Jacoboni, Carlo
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11380/309640
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