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Casimir Force of Piston Systems with Arbitrary Cross Sections under Different Boundary Conditions |
| XIONG Ai-Min, CHEN Xiao-Song |
| Institute of Theoretical Physics, Chinese Academy of Sciences, PO Box 2735, Beijing 100190 |
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| Cite this article: |
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XIONG Ai-Min, CHEN Xiao-Song 2009 Chin. Phys. Lett. 26 060302 |
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Abstract We study the Casimir force between two pistons under different boundary conditions inside an infinite cylinder with arbitrary cross section. It is found that the attractive or repulsive character of the Casimir force for a scalar field is determined only by the boundary condition along the longitudinal direction and is independent of the cross section, transverse boundary conditions and the mass of the field. Under symmetric Dirichlet-Dirichlet, Neumann-Neumann and periodic longitudinal boundary conditions the Casimir force is always
attractive, but is repulsive under non-symmetric Dirichlet-Neumann and anti-periodic longitudinal boundary conditions. The Casimir force of the electromagnetic field in an ideal conductive piston is also investigated. This force is always attractive regardless of the shape of the cross section and the transverse boundary conditions.
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| Keywords:
03.70.+k
11.10.-z
12.20.-m
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Received: 05 September 2008
Published: 01 June 2009
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