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Phys. Rev. Lett. 87, 120404 (2001) [4 pages]

Casimir Interaction among Objects Immersed in a Fermionic Environment

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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

Received 8 February 2001; published 30 August 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.87.120404
DOI:
10.1103/PhysRevLett.87.120404
PACS:
05.30.Fk, 03.65.Sq, 26.60.+c, 97.60.Jd