Casimir interaction of two plates inside a cylinder

Mar, 2007
14 pages
Published in:
  • Phys.Rev.D 75 (2007) 085019
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Abstract:
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 behaviour of the plates' free energy is investigated.
  • 03.70.+k
  • 12.20.-m
  • energy: Casimir
  • boundary condition
  • temperature dependence
  • free energy
  • regularization: zeta function
  • heat kernel