Self-consistent fluid model for a quantum electron gas
Self-consistent fluid model for a quantum electron gas
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DOI：
10.1103/physrevb.64.075316
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发表时间：
2001-07
影响因子：
3.7
通讯作者：
G. Manfredi;F. Haas
中科院分区：
文献类型：
--
作者：
G. Manfredi;F. Haas
结果表明，对于一大类统计混合，Wigner-Poisson（或Hartree）系统可以简化为一个有效的薛定谔-泊松系统，其中薛定谔方程包含一个新的非线性。对于零温度的一维电子气体，这种额外的非线性形式为垂直线{Psi}垂直线{sup 4}。在长波长极限下，有效薛定谔-泊松系统的结果与维格纳-泊松系统的结果一致。该简化模型进一步用于描述量子电子气体的定态和双流不稳定性。
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 vertical bar {Psi} vertical bar{sup 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.