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多个额外维存在时的Casimir效应
The Casimir effect with extra dimensions
【摘要】 在Kaluza-Klein理论框架下分析具有多个紧致额外维时两平行导体平板间的Ca-simir效应.假定所有的额外维具有相同的尺度R,利用Epstein zeta函数对Casimir能量密度进行正则化,得到Casimir力密度并与实验结果比较,可确定额外维的尺度为R≤10 nm.
【Abstract】 In this paper,the Casimir effect between two parallel conducting plates in the presence of compact universal extra dimensions is analyzed within the framework of Kaluza-Klein theory.Assuming that the extra dimensions possess the same radius as R,we derive Casimir energy density and Casimir force density through Epstein zeta function regularization technique.By comparison to experimental data the radius R of the universal extra dimensions can be restricted to R ≤ 10nm.
【关键词】 Casimir效应;
Epsteinzeta函数;
正则化;
额外维;
【Key words】 Casimir effect; Epstein zeta function; regularization; extra dimension;
【Key words】 Casimir effect; Epstein zeta function; regularization; extra dimension;
【基金】 国家自然科学基金(10671128);上海市教委项目(06DZ005)
- 【文献出处】 上海师范大学学报(自然科学版) ,Journal of Shanghai Normal University(Natural Sciences) , 编辑部邮箱 ,2007年02期
- 【分类号】O413.3
- 【被引频次】1
- 【下载频次】70