Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-05
Phys.Rev.D80:125028,2009
Physics
High Energy Physics
High Energy Physics - Theory
28 pages, 11 figures
Scientific paper
10.1103/PhysRevD.80.125028
We consider the Casimir energy due to a massless scalar field in a geometry of an infinite wedge closed by a Dirichlet circular cylinder, where the wedge is formed by $\delta$-function potentials, so-called semitransparent boundaries. A finite expression for the Casimir energy corresponding to the arc and the presence of both semitransparent potentials is obtained, from which the torque on the sidewalls can be derived. The most interesting part of the calculation is the nontrivial nature of the angular mode functions. Numerical results are obtained which are closely analogous to those recently found for a magnetodielectric wedge, with the same speed of light on both sides of the wedge boundaries. Alternative methods are developed for annular regions with radial semitransparent potentials, based on reduced Green's functions for the angular dependence, which allows calculations using the multiple-scattering formalism. Numerical results corresponding to the torque on the radial plates are likewise computed, which generalize those for the wedge geometry. Generally useful formulas for calculating Casimir energies in separable geometries are derived.
Kirsten Klaus
Milton Kimball A.
Wagner Jef
No associations
LandOfFree
Casimir Effect for a Semitransparent Wedge and an Annular Piston does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Casimir Effect for a Semitransparent Wedge and an Annular Piston, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Casimir Effect for a Semitransparent Wedge and an Annular Piston will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-390297