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

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.0· OSTI ID:20795751

Bulgac, Aurel ^[1]; Magierski, Piotr ^[1]; Wirzba, Andreas ^[2]

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1. Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)
2. Institut fuer Kernphysik (Theorie), Forschungszentrum Juelich, D-52425 Juelich (Germany)

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.

• OSTI ID: 20795751
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 2; Other Information: DOI: 10.1103/PhysRevD.73.025007; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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