量子碰撞等离子体横向电导率的Mermin近似
Transverse electric conductivity in quantum collisional plasma in Mermin approach
摘要：
推导了量子碰撞等离子体的横向电导率和介电磁导率的计算公式。利用动量空间中弛豫近似下的密度矩阵的动力学方程。结果表明，当Planck常数趋于零时，这些推导公式通过经典表达式，当电子碰撞频率趋于零时（即等离子体通过无碰撞等离子体），这些推导公式通过Lindhard早先推导的公式。当波数趋于零时，量子电导率通过经典电导率。将推导出的电导率与Lindhard电导率和经典电导率进行了图解比较。
英文摘要：
Formulas for transversal electric conductivity and dielectric permeability of quantum collisional plasma are deduced. The kinetic equation for a density matrix in relaxation approaching in momentum space is used. It is shown, that when Planck's constant tends to zero, these deduced formulas pass in classical expressions and when frequency of electron collision tends to zero (i.e. plasma passes in collisionless plasma), the deduced formulas pass in deduced earlier by Lindhard. It is shown also, that when the wave number tends to zero, quantum conductivity passes in the classical one. Graphic comparison of the deduced conductivity with Lindhard's conductivity and with classical conductivity is carry out.
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