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Title: Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit

Abstract

In earlier papers, we have applied multiple-scattering techniques to calculate Casimir forces due to scalar fields between different bodies described by delta function potentials. When the coupling to the potentials became weak, closed-form results were obtained. We simplify this weak-coupling technique and apply it to the case of tenuous dielectric bodies, in which case the method involves the summation of van der Waals (Casimir-Polder) interactions. Once again, exact results for finite bodies can be obtained. We present closed formulas describing the interaction between spheres, between cylinders, and between an infinite plate and a rectangular slab of finite size. For such a slab, we consider the torque acting on it and find that nontrivial equilibrium points can occur.

Authors:
; ;  [1]
  1. Oklahoma Center for High Energy Physics and Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma, Norman, Oklahoma 73019 (United States)
Publication Date:
OSTI Identifier:
21179807
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 101; Journal Issue: 16; Other Information: DOI: 10.1103/PhysRevLett.101.160402; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CASIMIR EFFECT; CYLINDERS; DELTA FUNCTION; DIELECTRIC MATERIALS; EQUILIBRIUM; MULTIPLE SCATTERING; PLATES; POTENTIALS; SCALAR FIELDS; SPHERES; TORQUE; VAN DER WAALS FORCES

Citation Formats

Milton, Kimball A, Parashar, Prachi, and Wagner, Jef. Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit. United States: N. p., 2008. Web. doi:10.1103/PHYSREVLETT.101.160402.
Milton, Kimball A, Parashar, Prachi, & Wagner, Jef. Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit. United States. https://doi.org/10.1103/PHYSREVLETT.101.160402
Milton, Kimball A, Parashar, Prachi, and Wagner, Jef. 2008. "Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit". United States. https://doi.org/10.1103/PHYSREVLETT.101.160402.
@article{osti_21179807,
title = {Exact Results for Casimir Interactions between Dielectric Bodies: The Weak-Coupling or van der Waals Limit},
author = {Milton, Kimball A and Parashar, Prachi and Wagner, Jef},
abstractNote = {In earlier papers, we have applied multiple-scattering techniques to calculate Casimir forces due to scalar fields between different bodies described by delta function potentials. When the coupling to the potentials became weak, closed-form results were obtained. We simplify this weak-coupling technique and apply it to the case of tenuous dielectric bodies, in which case the method involves the summation of van der Waals (Casimir-Polder) interactions. Once again, exact results for finite bodies can be obtained. We present closed formulas describing the interaction between spheres, between cylinders, and between an infinite plate and a rectangular slab of finite size. For such a slab, we consider the torque acting on it and find that nontrivial equilibrium points can occur.},
doi = {10.1103/PHYSREVLETT.101.160402},
url = {https://www.osti.gov/biblio/21179807}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 16,
volume = 101,
place = {United States},
year = {2008},
month = {10}
}