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Causality, Kramers-Kronig Relations, and Landau Damping

机译:因果关系,Kramers-Kronig关系和Landau阻尼

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We review the consequence of the causality in electrodynamics. The Kramers-Kronig relations are directconsequence of causality which has two ingredients: no perturbation in the remote past and irrelevance of futuresusceptibility to the present field. It is shown that the dielectric function obtained from the integration along the Landaucontour can be derived from the Kramers-Kronig relations, thus the origin of the collisionless damping in plasmas istraced to the causality. An alternative derivation of the Kramers-Kronig relations based on the causal requirement ispresented.
机译:我们回顾了电动力学中因果关系的结果。克拉默斯-克罗尼格关系是因果关系的直接结果,它具有两个成分:在遥远的过去中没有扰动,而对未来领域的敏感性与当前领域无关。结果表明,沿Landaucontour积分获得的介电函数可以从Kramers-Kronig关系推导,因此等离子体中无碰撞阻尼的起源可归因于因果关系。提出了基于因果要求的克雷默斯-克罗尼格关系的另一种推导。

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