Casimir potential of a compact object enclosed by a spherical cavity
Name
Zaheer-2010-Casimir potential of.pdf
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Author(s)
Zaheer, Saad
Rahi, Sahand Jamal
Emig, Thorsten
Jaffe, Robert L.
Date Issued
November 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Zaheer, Saad et al. “Casimir Potential of a Compact Object Enclosed by a Spherical Cavity.” Physical Review A 82.5 (2010) : 052507. © 2010 The American Physical Society
Version
Final published version
Abstract
We study the electromagnetic Casimir interaction of a compact object contained inside a closed cavity of another compact object. We express the interaction energy in terms of the objects’ scattering matrices and translation matrices that relate the coordinate systems appropriate to each object. When the enclosing object is an otherwise empty metallic spherical shell, much larger than the internal object, and the two are sufficiently separated, the Casimir force can be expressed in terms of the static electric and magnetic multipole polarizabilities of the internal object, which is analogous to the Casimir-Polder result. Although it is not a simple power law, the dependence of the force on the separation of the object from the containing sphere is a universal function of its displacement from the center of the sphere, independent of other details of the object’s electromagnetic response. Furthermore, we compute the exact Casimir force between two metallic spheres contained one inside the other at arbitrary separations. Finally, we combine our results with earlier work on the Casimir force between two spheres to obtain data on the leading-order correction to the proximity force approximation for two metallic spheres both outside and within one another.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.82.052507
