Weyl problem and Casimir effects in spherical shell geometry

Details Weyl problem and Casimir effects in spherical shell geometry Weyl problem and Casimir effects in spherical shell geometry

2011-10-03

arxiv.org/abs/1110.0421v1

Physics

Condensed Matter

Statistical Mechanics

8 pages

Scientific paper

We compute the generic mode sum that quantifies the effect on the spectrum of a harmonic field when a spherical shell is inserted into vacuum. This encompasses a variety of problems including the Weyl spectral problem and the Casimir effect of quantum electrodynamics. This allows us to resolve several long-standing controversies regarding the question of universality of the Casimir self-energy; the resolution comes naturally through the connection to the Weyl problem. Specifically we demonstrate that in the case of a scalar field obeying Dirichlet or Neumann boundary conditions on the shell surface the Casimir self-energy is cutoff-dependent while in the case of the electromagnetic field perturbed by a conductive shell the Casimir self-energy is universal. We additionally show that an analog non-relativistic Casimir effect due to zero-point magnons takes place when a non-magnetic spherical shell is inserted inside a bulk ferromagnet.

Affiliated with

Also associated with

No associations

Rating

Weyl problem and Casimir effects in spherical shell geometry 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 Weyl problem and Casimir effects in spherical shell geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weyl problem and Casimir effects in spherical shell geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271609