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Quantum generalized Vlasov equation

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  • Plácido, Hebe Q
  • Santana, Ademir E

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.

Suggested Citation

  • Plácido, Hebe Q & Santana, Ademir E, 1995. "Quantum generalized Vlasov equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 552-562.
    • Handle: RePEc:eee:phsmap:v:220:y:1995:i:3:p:552-562
    DOI: 10.1016/0378-4371(95)00157-3
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    References listed on IDEAS

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    1. Santana, Ademir E. & Matos Neto, A. & Vianna, J.D.M., 1989. "A generalized Vlasov equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 471-481.
    2. Lu, De-xin, 1987. "Kinetics of a two-dimensional classical electron plasma," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 146(3), pages 525-540.
    3. Henri L. Tosi & Stephen Carroll, 1970. "Some Factors Affecting The Success Of ‘Management By Objectives’," Journal of Management Studies, Wiley Blackwell, vol. 7(2), pages 209-223, May.
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