Casimir Interaction among Objects Immersed in a Fermionic Environment

Aurel Bulgac and Andreas Wirzba
Phys. Rev. Lett. 87, 120404 – Published 30 August 2001
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Abstract

Using ensembles of two, three, and four spheres immersed in a fermionic background we evaluate the (integrated) density of states and the Casimir energy. We thus infer that for sufficiently smooth objects, whose various geometric characteristic lengths are larger then the Fermi wave length one can use the simplest semiclassical approximation (the contribution due shortest periodic orbits only) to evaluate the Casimir energy. We also show that the Casimir energy for several objects can be represented fairly accurately as a sum of pairwise Casimir interactions between pairs of objects.

  • Received 8 February 2001

DOI:https://doi.org/10.1103/PhysRevLett.87.120404

©2001 American Physical Society

Authors & Affiliations

Aurel Bulgac1 and Andreas Wirzba2

  • 1Department of Physics, University of Washington, Seattle, Washington 98195-1560
  • 2Institut für Kernphysik (Theorie), Forschungszentrum Jülich, D-52425 Jülich, Germany

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Vol. 87, Iss. 12 — 17 September 2001

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