Self-consistent fluid model for a quantum electron gas

Details Self-consistent fluid model for a quantum electron gas Self-consistent fluid model for a quantum electron gas

2002-03-20

arxiv.org/abs/cond-mat/0203394v1

G. Manfredi, F. Haas, Phys. Rev. B 64, 075316 (2001)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.64.075316

It is shown that, for a large class of statistical mixtures, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger-Poisson system, in which the Schroedinger equation contains a new nonlinearity. For the case of a zero-temperature one-dimensional electron gas, this additional nonlinearity is of the form Psi^4. In the long wavelength limit, the results obtained from the effective Schroedinger-Poisson system are in agreement with those of the Wigner-Poisson system. The reduced model is further used to describe the stationary states of a quantum electron gas and the two-stream instability.

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