On the quantum master equation for fermions

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dc.creatorHuang, C. F.
dc.creatorHuang, K. -N.
dc.date2006-04-09
dc.date2007-06-30
dc.date.accessioned2026-07-07T08:12:59Z
dc.date.available2026-07-07T08:12:59Z
dc.descriptionA quantum master equation is obtained for identical fermions by including a relaxation term in addition to the mean-field Hamiltonian. [Huang C F and Huang K N 2004 Chinese J. Phys. ${\bf 42}$ 221; Gebauer R and Car R 2004 Phys. Rev. B ${\bf 70}$ 125324] It is proven in this paper that both the positivity and Pauli's exclusion principle are preserved under this equation when there exists an upper bound for the transition rate. Such an equation can be generalized to model BCS-type quasiparticles, and is reduced to a Markoff master equation of Lindblad form in the low-density limit with respect to particles or holes.
dc.description25 pages. It is discussed in the revised manuscript how to prove the trace invariance. Some details are incorporated in the appendixes
dc.identifierhttps://arxiv.org/abs/quant-ph/0604054
dc.identifierhttp://arxiv.org/abs/quant-ph/0604054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132648
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleOn the quantum master equation for fermions
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