| 摘要: |
| 研究了满足螺旋边界条件的额外维存在时的平行板标量场Casimir效应.利用Zeta函数正则化方法，得到了用第二类变形Bessel函数表示的Casimir力.发现Casimir力总是吸引力，但是对于相同尺度的螺旋结构参数和平板间的距离，与不存在额外维的情形相比，平板间Casimir力的大小降低了一个数量级.螺旋结构参数越小，Casimir力的大小降低越多. |
| 关键词: Casimir效应 螺旋边界条件 额外维度 Zeta函数正则化 |
| DOI： |
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| Scalar Casimir effect in the presence of extra dimensions with helix boundary conditions |
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GE Feifei, ZHAI Xianghua
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Shanghai United Center for Astrophysics, Shanghai Normal University
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| Abstract: |
| In this paper,we consider the scalar Casimir effect for parallel plates in the presence of extra dimensions with helix boundary conditions.Using zeta function regularization technique,we get the Casimir pressure explicitly expressed by the modified Bessel function of the second kind.We find the Casimir force is always attractive but for the same magnitude of the helix parameter as the parallel separation,the magnitude of the force between the parallel plates decreases by one order of magnitude.The smaller the helix parameter compared to the plate separation,the more magnitudes the force decreases. |
| Key words: Casimir effect helix boundary conditions extra dimensions zeta function regularization |
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