光滑紧致曲面的Casimir能量
Casimir energy of smooth compact surfaces
摘要：
我们讨论的形式主义的Balian和Duplantier的Casimir能量的计算任意光滑的紧凑的表面，并用它来给出一些例子：一个有限的圆柱体与半球形帽，环面，椭球体的革命，一个“立方体”圆角和边缘，和一个“鼓”的磁盘和环面的一部分。我们提出了一个模型函数，它近似地捕捉形状依赖的Casimir能量。
英文摘要：
We discuss the formalism of Balian and Duplantier for the calculation of the Casimir energy for an arbitrary smooth compact surface, and use it to give some examples: a finite cylinder with hemispherical caps, the torus, ellipsoid of revolution, a "cube" with rounded corners and edges, and a "drum" made of disks and part of a torus. We propose a model function which approximately captures the shape dependence of the Casimir energy.
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