Casimir effect with quantized charged spinor matter in background magnetic field

Yu. A. Sitenko
Phys. Rev. D 91, 085012 – Published 9 April 2015

Abstract

We study the influence of a background uniform magnetic field and boundary conditions on the vacuum of a quantized charged spinor matter field confined between two parallel neutral plates; the magnetic field is directed orthogonally to the plates. The admissible set of boundary conditions at the plates is determined by the requirement that the Dirac Hamiltonian operator be self-adjoint. It is shown that, in the case of a sufficiently strong magnetic field and a sufficiently large separation of the plates, the generalized Casimir force is repulsive, being independent of the choice of a boundary condition, as well as of the distance between the plates. The detection of this effect seems to be feasible in the foreseeable future.

  • Figure
  • Received 14 November 2014

DOI:https://doi.org/10.1103/PhysRevD.91.085012

© 2015 American Physical Society

Authors & Affiliations

Yu. A. Sitenko

  • Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b Metrologichna Street, 03680 Kyiv, Ukraine
  • Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

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Issue

Vol. 91, Iss. 8 — 15 April 2015

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