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Title: Scalar Casimir effect between Dirichlet spheres or a plate and a sphere

Abstract

We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or nonoverlapping potentials/nonideal reflectors.

Authors:
 [1];  [1];  [2];  [3]
  1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
  2. (Poland)
  3. Institut fuer Kernphysik (Theorie), Forschungszentrum Juelich, D-52425 Juelich (Germany)
Publication Date:
OSTI Identifier:
20795751
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.73.025007; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; BOUNDARY CONDITIONS; CASIMIR EFFECT; COMPARATIVE EVALUATIONS; PLATES; POTENTIALS; SCALARS; SPHERES

Citation Formats

Bulgac, Aurel, Magierski, Piotr, Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, and Wirzba, Andreas. Scalar Casimir effect between Dirichlet spheres or a plate and a sphere. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.0.
Bulgac, Aurel, Magierski, Piotr, Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, & Wirzba, Andreas. Scalar Casimir effect between Dirichlet spheres or a plate and a sphere. United States. doi:10.1103/PHYSREVD.73.0.
Bulgac, Aurel, Magierski, Piotr, Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw, and Wirzba, Andreas. Sun . "Scalar Casimir effect between Dirichlet spheres or a plate and a sphere". United States. doi:10.1103/PHYSREVD.73.0.
@article{osti_20795751,
title = {Scalar Casimir effect between Dirichlet spheres or a plate and a sphere},
author = {Bulgac, Aurel and Magierski, Piotr and Faculty of Physics, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warsaw and Wirzba, Andreas},
abstractNote = {We present a simple formalism for the evaluation of the Casimir energy for two spheres and a sphere and a plane, in case of a scalar fluctuating field, valid at any separations. We compare the exact results with various approximation schemes and establish when such schemes become useful. The formalism can be easily extended to any number of spheres and/or planes in three or arbitrary dimensions, with a variety of boundary conditions or nonoverlapping potentials/nonideal reflectors.},
doi = {10.1103/PHYSREVD.73.0},
journal = {Physical Review. D, Particles Fields},
number = 2,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}