Elementary approximate derivations of some retarded Casimir interactions involving one or two dielectric walls.
Elementary approximate derivations of some retarded Casimir interactions involving one or two dielectric walls.
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涉及一两个电介质壁的一些延迟卡西米尔相互作用的基本近似推导。
DOI：
10.1103/physreva.48.4213
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
Tikochinsky
中科院分区：
文献类型：
--
作者：
Spruch;Tikochinsky
Lifshitz[Sov.太棒了。[2，73(1956)]中，两个平面平行介质壁之间的单位面积力非常复杂；后者的推导虽然简单，但仍然很困难。原子与介质壁的相互作用V ATD的标准推导使用P DD的表达式作为其起点。结果对分离L的所有值都是有效的。对于相互作用被延迟的L∼∞，我们得到了相当准确的PDD和V ATD的近似表达式--以及对于一个电子和介质壁的被延迟的相互作用--通过假定具有一个或两个开放参数的简单形式的基本过程，调整以给出不包括介质壁的被延迟的相互作用的已知结果
The original derivation by Lifshitz [Sov. Phys. 2, 73 (1956)] of P DD , the force per unit area between two plane parallel dielectric walls, is ertremely complicated; the later derivations are simpler but still difficult. The standard derivation of the interaction V AtD of an atom and a dielectric wall uses the expression for P DD as its starting point. The results are valid for all values of the separation l. For l∼∞, where the interactions are retarded, we obtain reasonably accurate approximate expressions for P DD and for V AtD -and also for V ElD , the retarded interaction of an electron and a dielectric wall-by the elementary procedure of assuming simple forms with one or two open parameters, adjusted to give the known results for retarded interactions which do not include dielectric walls