Casimir energy for spherical boundaries

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 6, 2000, Pages

  Hagen, C R ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

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EID: 16644381177     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.065005     Document Type: Article

References (23)

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20. Throughout this work Greek indices range over 0,1,2,3 while Latin ones take the values 1,2,3.
21. Since the usual view of the Casimir effect sees it as arising from the zero point energy of the electromagnetic field, it is inappropriate to impose such time asymmetric boundary conditions which have the further consequence of eliminating any possible correspondence to the case of planar boundaries.
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23. It is of interest to note here that if the rotation of the contour along the negative real axis is continued to just below the positive real axis, a simple application of Cauchy’s theorem yields Eq. (A2). The latter is known to give zero stress in the limit of large R by the analysis following Eq. (9).