Quantum generalized Vlasov equation

Hebe Q Plácido and Ademir E Santana

Physica A: Statistical Mechanics and its Applications, 1995, vol. 220, issue 3, 552-562

Abstract: An electronic system is considered as a quantum plasma characterized by a plasma parameter γ0 ⪡ 1, over short times. Using the Dynamics of Correlations (a many-body theory based on the Liouville-von Neumann equation in the Fourier transform of the Wigner-Weyl representation), in first and second order, a generalized Vlasov equation (GVE) has been derived. GVE describes as a particular situation the STLS (Singwi, Tosi, Land and Sjölander) ansatz. Discarding correlation terms in GVE, a non-linear Vlasov equation with exchange terms is derived. The classical limit and the linearization of GVE are also studied.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:220:y:1995:i:3:p:552-562

DOI: 10.1016/0378-4371(95)00157-3

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