Self-consistent fluid model for a quantum electron gas
强关联电子
2009-11-07 v1 统计力学
摘要
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.
引用
@article{arxiv.cond-mat/0203394,
title = {Self-consistent fluid model for a quantum electron gas},
author = {G. Manfredi and F. Haas},
journal= {arXiv preprint arXiv:cond-mat/0203394},
year = {2009}
}