02 04 9 v 2 2 8 Ju n 20 00 Finite temperature Casimir effect for a dilute ball satisfying ǫ μ = 1 ∗
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چکیده
The finite temperature Casimir free energy is calculated for a dielec-tric ball of radius a embedded in an infinite medium. The condition ǫµ = 1 is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple " square " dispersion relation with an abrupt cutoff at imaginary frequencyˆω = ω0, the high temperature Casimir free energy to be negative and proportional to x0 ≡ ω0a. Also, a physically more realistic dispersion relation involving spatial dispersion is considered, and is shown to lead to comparable results.
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0 Finite temperature Casimir effect for a dilute ball satisfying ǫ μ = 1
The finite temperature Casimir free energy is calculated for a dielec-tric ball of radius a embedded in an infinite medium. The condition ǫµ = 1 is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple " square " dispersion relation with an abrupt cutoff at i...
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