库仑体系介电函数和静态电导率的Kramers-Kronig关系
Kramers-Kronig Relations For The Dielectric Function And The Static Conductivity Of Coulomb Systems
摘要：
建立了库仑系统中介电常数e（q，w）的奇异性在w趋于零，q趋于零和相反q趋于零，w趋于零两种极限情况下的相互影响。结果表明，介电常数e（q，w）满足Kramers-Kronig关系，该关系由于静态电导率的有限值而具有奇异性。这种奇异性与时间关联函数的长“尾”有关。
英文摘要：
The mutual influence of singularities of the dielectric permittivity e(q,w) in a Coulomb system in two limiting cases w tends to zero, q tends to zero, and opposite q tends to zero, w tends to zero is established. It is shown that the dielectric permittivity e(q,w) satisfies the Kramers-Kronig relations, which possesses the singularity due to a finite value of the static conductivity. This singularity is associated with the long "tails" of the time correlation functions.
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