Casimir Interaction among Objects Immersed in a Fermionic Environment

Details Casimir Interaction among Objects Immersed in a Fermionic Environment Casimir Interaction among Objects Immersed in a Fermionic Environment

2001-02-08

arxiv.org/abs/nucl-th/0102018v2

Phys.Rev.Lett. 87 (2001) 120404

Physics

Nuclear Physics

Nuclear Theory

4 pages, 5 figures, version to appear in PRL

Scientific paper

10.1103/PhysRevLett.87.120404

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.

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