The Casimir effect with quantized charged scalar matter in background magnetic field
Abstract
We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged massive scalar matter field confined between two parallel plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirements that the operator of one-particle energy squared be self-adjoint and positive definite. We show that, in the case of a weak magnetic field and a small separation of the plates, the Casimir force is either attractive or repulsive, depending on the choice of a boundary condition. In the case of a strong magnetic field and a large separation of the plates, the Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates.
Keywords
Cite
@article{arxiv.1401.6950,
title = {The Casimir effect with quantized charged scalar matter in background magnetic field},
author = {Yu. A. Sitenko and S. A. Yushchenko},
journal= {arXiv preprint arXiv:1401.6950},
year = {2015}
}
Comments
25 pages, 1 figure, misprint in formula (49) is eliminated