arXiv 0801.29842008-01-19quant-ph

球腔中的Casimir能量

Casimir energy in spherical cavities

W. Luis Mochan, Carlos Villarreal-Lujan

备注：: 9 pages, 4 figures, Proceedings of QFEXT07. To be published in J. Phys. A
发表信息：: J. Phys. A 41 (2008) 164006
DOI：: 10.1088/1751-8113/41/16/164006

摘要：

我们计算的Casimir能量在球形空腔内的主机由一个任意的材料所描述的一个可能的色散和有损耗的介电响应。为此，我们添加到相干光学响应的贡献，考虑到由主机发出的非相干辐射，以保证所需的细致平衡，以保持系统在存在耗散的热力学平衡。由此产生的边界条件允许一个传统的量子力学治疗的辐射内的腔，我们得到的贡献的腔壁的状态密度，并从它，系统的热力学性质。腔对能量的贡献是发散的，因为它在连续描述中包含了相邻原子之间的相互作用能。然而，位于腔中心的原子由于其与波动腔场的相互作用而引起的能量变化是有限的。我们评估一个简单的情况下，后者。

英文摘要：

We calculate the Casimir energy at spherical cavities within a host made up of an arbitrary material described by a possibly dispersive and lossy dielectric response. To that end, we add to the coherent optical response a contribution that takes account of the incoherent radiation emitted by the host in order to guarantee the detailed balance required to keep the system at thermodynamic equilibrium in the presence of dissipation. The resulting boundary conditions allow a conventional quantum mechanical treatment of the radiation within the cavity from which we obtain the contribution of the cavity walls to the density of states, and from it, the thermodynamic properties of the system. The contribution of the cavity to the energy diverges as it incorporates the interaction energy between neighbor atoms in a continuum description. The change in the energy of an atom situated at the center of the cavity due to its interaction with the fluctuating cavity field is however finite. We evaluate the latter for a simple case.

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英文摘要：

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