In this work the Wigner function approach to quantum transport developed for the single electron case is extended to a more complicated system for n indistingushable particles. In particular we study how the Monte Carlo tecnique and the Wigner paths method can be applyed to a single particle Wigner function defined for a system of n interacting particles. The numerical results are obtained for the case of a system of two particles under different conditions: two noninteracting fermions, two noninteracting bosons, two non interacting distinguishable particles and two interacting fermions.
Wigner functions for identical particles / E., Cancellieri; Bordone, Paolo; A., Bertoni; G., Ferrari; Jacoboni, Carlo. - In: JOURNAL OF COMPUTATIONAL ELECTRONICS. - ISSN 1569-8025. - STAMPA. - 3:(2004), pp. 411-415. [10.1007/s10825-004-7087-0]
Wigner functions for identical particles
BORDONE, Paolo;JACOBONI, Carlo
2004
Abstract
In this work the Wigner function approach to quantum transport developed for the single electron case is extended to a more complicated system for n indistingushable particles. In particular we study how the Monte Carlo tecnique and the Wigner paths method can be applyed to a single particle Wigner function defined for a system of n interacting particles. The numerical results are obtained for the case of a system of two particles under different conditions: two noninteracting fermions, two noninteracting bosons, two non interacting distinguishable particles and two interacting fermions.
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