Eikonal Blog

2010.02.16

Casimir pressure

Filed under: physics — Tags: , — sandokan65 @ 13:06

Casimir pressure for spherical shell of radius R:
P_c = -\frac{dE_c}{dV} = \frac{K}{8\pi} \sqrt{-g} \left(\frac{\hbar c}{R}\right)^4
where

  • K=-0.443,9\cdots for the Neuman b.cs (boundary conditions),
  • K=+0.005,639,\cdots for the Dirichlet b.cs (boundary conditions),

Source: G.E. Volovik “Vacuum in Quantum Liquids and in General Relativity”; arXiv: gr-qc/0104046v1, 2001.04.15; http://arxiv.org/abs/gr-qc/0104046.

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