arXiv 1707.076562017-07hep-th

两光滑变形柱面间的Casimir相互作用

On the Casimir interaction between two smoothly deformed cylindrical surfaces

Julio David Melon Fuksman, César Daniel Fosco

备注：: 24 pages
发表信息：: Phys. Rev. D 96, 076015 (2017)
DOI：: 10.1103/PhysRevD.96.076015

摘要：

我们推广的导数展开（DE）的方法几乎平坦的光滑表面之间的相互作用，表面的情况下，最佳描述的圆柱坐标。与DE的原始形式一样，所得到的方法不依赖于相互作用的性质。我们将我们的结果应用于两个圆柱表面之间的静态，零温度Casimir效应的研究，获得近似的表达式是可靠的假设下，这些表面之间的距离总是远小于其局部曲率半径。为了获得零点能量，我们应用已知的结果热卡西米尔效应的平面几何形状。为此，我们将后者中的时间坐标与圆柱体中的角变量以及温度与圆柱体的半径联系起来。我们研究了依赖的DE的相互作用的类型的适用性，考虑特殊情况下，狄利克雷或诺依曼条件适用于一个标量场。

英文摘要：

We generalize the derivative expansion (DE) approach to the interaction between almost-flat smooth surfaces, to the case of surfaces which are optimally described in cylindrical coordinates. As in the original form of the DE, the obtained method does not depend on the nature of the interaction. We apply our results to the study of the static, zero-temperature Casimir effect between two cylindrical surfaces, obtaining approximate expressions which are reliable under the assumption that the distance between those surfaces is always much smaller than their local curvature radii. To obtain the zero-point energy, we apply known results about the thermal Casimir effect for a planar geometry. To that effect, we relate the time coordinate in the latter to the angular variable in the cylindrical case, as well as the temperature to the radius of the cylinders. We study the dependence of the applicability of the DE on the kind of interaction, considering the particular cases where Dirichlet or Neumann conditions are applied to a scalar field.

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。

摘要：

英文摘要：

相关论文