English

The heat kernel expansion for the electromagnetic field in a cavity

Mathematical Physics 2015-06-26 v1 math.MP

Abstract

We derive the first six coefficients of the heat kernel expansion for the electromagnetic field in a cavity by relating it to the expansion for the Laplace operator acting on forms. As an application we verify that the electromagnetic Casimir energy is finite.

Cite

@article{arxiv.math-ph/0302035,
  title  = {The heat kernel expansion for the electromagnetic field in a cavity},
  author = {F. Bernasconi and G. M. Graf and D. Hasler},
  journal= {arXiv preprint arXiv:math-ph/0302035},
  year   = {2015}
}

Comments

12 pages

R2 v1 2026-07-22T16:22:33.953Z