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arXiv quant-ph/0211109quant-ph
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一维中的卡西米尔力和边界条件:吸引力、排斥力、普朗克谱和熵

Casimir Forces and Boundary Conditions in One Dimension: Attraction, Repulsion, Planck Spectrum, and Entropy

Timothy H. Boyer

摘要:

在一维Dirichlet或Neumann边界条件下,计算了Casimir力引起的边界力。1)由于零点波动,如果隔板和箱壁的波边界条件相似,则隔板被吸引到箱壁,但如果条件不同,则被排斥。2)在存在零点辐射的情况下使用卡西米尔能量引入了一个自然的最大熵原理,该原理仅在盒子和隔板之间的相似和不相似边界条件下由普朗克谱满足。3)Casimir力是吸引力,并随着温度增加,类似的边界条件,但排斥,并随着温度的不同条件。4)在高温极限下,对于相似边界条件,存在与温度无关的Casimir熵,而对于不同边界条件,不存在与温度无关的Casimir熵。这些结果具有三维电磁对应物。

英文摘要:

Quantities associated with Casimir forces are calculated in a model wave system of one spatial dimension with Dirichlet or Neumann boundary conditions. 1)Due to zero-point fluctuations, a partition is attracted to the walls of a box if the wave boundary conditions are alike for the partition and the walls, but is repelled if the conditions are different. 2)The use of Casimir energies in the presence of zero-point radiation introduces a natural maximum-entropy principle which is satisfied only by the Planck spectrum for both like and unlike boundary conditions between the box and partition. 3)The Casimir forces are attractive and increasing with temperature for like boundary conditions, but are repulsive and decreasing with temperature for unlike conditions. 4)In the high-temperature limit, there is a temperature-independent Casimir entropy for like but not for unlike boundary conditions. These results have 3-dimensional electromagnetic counterparts.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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