FLUCTUATIONS OF CASIMIR FORCES ON FINITE OBJECTS .2. FLAT CIRCULAR DISK

被引：20

作者：

EBERLEIN, C

机构：

[1] Sch. of Math. and Phys. Sci., Sussex Univ., Brighton

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1992年 / 25卷 / 10期

关键词：

D O I：

10.1088/0305-4470/25/10/029

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The zero-point fluctuations of a scalar field with Neumann boundary conditions are investigated on a flat circular disk. The Helmholtz equation is is separated in oblate spheroidal coordinates; the mean-square force acting perpendicularly on the disk is calculated by picturing the disk as an oblate spheroid with zero eccentricity. The force is averaged aver a time T, and the disk is taken small compared with cT. The results show that the fluctuations on a disk are roughly equal to those on a small sphere. For a one-sided disk divergences arise from the sharp edge, but the mean-square force has the same power dependence on T as for a hemisphere.

引用

页码：3039 / 3050

页数：12