Casimir energies for spherically symmetric cavities

Citation
G. Cognola et al., Casimir energies for spherically symmetric cavities, J PHYS A, 34(36), 2001, pp. 7311-7327
Citations number
66
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
36
Year of publication
2001
Pages
7311 - 7327
Database
ISI
SICI code
0305-4470(20010914)34:36<7311:CEFSSC>2.0.ZU;2-B
Abstract
A general calculation of Casimir energies-in an arbitrary number of dimensi ons-for massless quantized fields in spherically symmetric cavities is carr ied out. All the most common situations, including scalar and spinor fields , the electromagnetic field and various boundary conditions are treated wit h the uppermost accuracy. The final results are given as analytical, closed expressions in terms of Barnes zeta functions. A direct numerical evaluati on of the formulae is then performed, which yields highly accurate numbers of, in principle, arbitrarily good precision.