The Casimir Effect in Spheroidal Geometries

Details The Casimir Effect in Spheroidal Geometries The Casimir Effect in Spheroidal Geometries

2010-11-17

arxiv.org/abs/1011.4055v2

Physics

Quantum Physics

24 pages, 3 figures. To appear in Phys. Rev. D

Scientific paper

We study the zero point energy of massless scalar and vector fields subject to spheroidal boundary conditions. For massless scalar fields and small ellipticity the zero-point energy can be found using both zeta function and Green's function methods. The result agrees with the conjecture that the zero point energy for a boundary remains constant under small deformations of the boundary that preserve volume (the boundary deformation conjecture), formulated in the case of an elliptic-cylindrical boundary. In the case of massless vector fields, an exact solution is not possible. We show that a zonal approximation disagrees with the result of the boundary deformation conjecture. Applying our results to the MIT bag model, we find that the zero point energy of the bag should stabilize the bag against deformations from a spherical shape.

Affiliated with

Also associated with

No associations

Rating

The Casimir Effect in Spheroidal Geometries 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 The Casimir Effect in Spheroidal Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Casimir Effect in Spheroidal Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-534823