Local zeta regularization and the scalar Casimir effect II. Some explicitly solvable cases
arXiv:1505.01044
Abstract
In Part I of this series of papers we have described a general formalism to compute the vacuum effects of a scalar field via local (or global) zeta regularization. In the present Part II we exemplify the general formalism in a number of cases which can be solved explicitly by analytical means. More in detail we deal with configurations involving parallel or perpendicular planes and we also discuss the case of a three-dimensional wedge.
arXiv commentSome overlaps with our works arXiv:1104.4330, arXiv:1505.00711, arXiv:1505.01651, arXiv:1505.03276. These overlaps aim to make the present paper self-contained, and do not involve the main results
References in corpus (5)
- Zeta function method and repulsive Casimir forces for an unusual pair of plates at finite temperature
- Casimir effect for a perfectly conducting wedge in terms of local zeta function
- Energy-momentum tensor of a Casimir apparatus in a weak gravitational field: scalar case
- Local Casimir Energy for a Wedge with circular outer boundary
- Whightman function and scalar Casimir densities for a wedge with a cylindrical boundary