Universität zu Köln

Zaheer, Saad, Rahi, Sahand Jamal, Emig, Thorsten ORCID: 0000-0002-3272-7496 and Jaffe, Robert L. (2010). Casimir potential of a compact object enclosed by a spherical cavity. Phys. Rev. A, 82 (5). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zaheer, Saad UNSPECIFIED UNSPECIFIED UNSPECIFIED Rahi, Sahand Jamal UNSPECIFIED UNSPECIFIED UNSPECIFIED Emig, Thorsten UNSPECIFIED orcid.org/0000-0002-3272-7496 UNSPECIFIED Jaffe, Robert L. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-492579
DOI:	10.1103/PhysRevA.82.052507
Journal or Publication Title:	Phys. Rev. A
Volume:	82
Number:	5
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ENERGY Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49257