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Casimir self-stress on a perfectly conducting spherical shell

✍ Scribed by Kimball A. Milton; Lester L. DeRaad Jr.; Julian Schwinger

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 690 KB
Volume: 115
Category: Article
ISSN: 0003-4916
DOI: 10.1016/0003-4916(78)90161-6

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✦ Synopsis

The Casimir stress on a perfectly conducting uncharged sphere, due to occurrence of fluctuations in the electromagnetic field, is calculated using a source theory formulation. Two independent methods are employed: we compute (1) the total Casimir energy inside and outside the sphere, and (2) the radial component of the stress tensor on the surface. It is necessary to exercise care in allowing the field points to overlap; a correct limiting procedure supplies a "cutoff" in the frequency integration. In spite of numerous technical improvements, the result of Boyer, that the self-stress is repulsive (and not attractive as Casimir hoped), is confirmed unambiguously. The magnitude of the Casimir energy of a sphere of radius a is found, by numerical and analytic techniques, to be E = (fic/2a)(0.09235), also in agreement with the very recent result of Balian and Duplantier.

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