Casimir force at a knife's edge

被引：29

作者：

Graham, Noah ^{[1
]}

Shpunt, Alexander ^{[2
]}

Emig, Thorsten ^{[2
,3
,4
]}

Rahi, Sahand Jamal ^{[2
]}

Jaffe, Robert L. ^{[2
,5
,6
]}

Kardar, Mehran ^{[2
]}

机构：

[1] Middlebury Coll, Dept Phys, Middlebury, VT 05753 USA

[2] MIT, Dept Phys, Cambridge, MA 02139 USA

[3] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

[4] Univ Paris 11, CNRS, UMR 8626, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France

[5] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA

[6] MIT, Nucl Sci Lab, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW D | 2010年 / 81卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevD.81.061701

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Casimir force has been computed exactly for only a few simple geometries, such as infinite plates, cylinders, and spheres. We show that a parabolic cylinder, for which analytic solutions to the Helmholtz equation are available, is another case where such a calculation is possible. We compute the interaction energy of a parabolic cylinder and an infinite plate (both perfect mirrors), as a function of their separation and inclination, H and theta, and the cylinder's parabolic radius R. As H/R -> 0, the proximity force approximation becomes exact. The opposite limit of R/H -> 0 corresponds to a semi-infinite plate, where the effects of edge and inclination can be probed.

引用

页数：5

共 26 条

[1] The k-function, a particular case of the confluent hypergeometric function [J].