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Phys. Rev. D 75, 085019 (2007) [6 pages]

Casimir interaction of two plates inside a cylinder

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Valery N. Marachevsky*
V.A. Fock Institute of Physics, St. Petersburg State University, 198504 St. Petersburg, Russia

Received 19 November 2006; published 27 April 2007

The new exact formulas for the attractive Casimir force acting on each of the two identical perfectly conducting plates moving freely inside an infinite perfectly conducting cylinder with the same cross section are derived at zero and finite temperatures by making use of the zeta function technique. The long and short distance behavior of the plates’ free energy is investigated.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.75.085019
DOI:
10.1103/PhysRevD.75.085019
PACS:
12.20.−m, 03.70.+k

*Electronic address: maraval@mail.ru