Casimir energy for a scalar field with a frequency dependent boundary condition - art. no. 025015

Citation
H. Falomir et al., Casimir energy for a scalar field with a frequency dependent boundary condition - art. no. 025015, PHYS REV D, 6302(2), 2001, pp. 5015
Citations number
34
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
6302
Issue
2
Year of publication
2001
Database
ISI
SICI code
0556-2821(20010115)6302:2<5015:CEFASF>2.0.ZU;2-R
Abstract
We consider the vacuum energy for a scalar field subject to a frequency dep endent boundary condition. The effect of a frequency cutoff is described in terms of an incomplete zeta function. The use of the Debye asymptotic expa nsion for Bessel functions allows us to determine the dominant (volume, are a,...) terms in the Casimir energy. The possible interest of this kind of m odel for dielectric media (and its application to sonoluminescence) is also discussed.