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Casimir forces in a T-operator approach

Kenneth, Oded and Klich, Israel (2008) Casimir forces in a T-operator approach. Physical Review B, 78 (1). Art. No. 014103. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:KENprb08

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Abstract

We explore the scattering approach to Casimir forces. Our main tool is the description of Casimir energy in terms of transition operators. The approach is valid for scalar fields as well as for electromagnetic fields. We provide several equivalent derivations of the formula presented by Kenneth and Klich [Phys. Rev. Lett. 97, 160401 (2006)]. We study the convergence properties of the formula and how to utilize it together with scattering data to compute the force. Next, we discuss the form of the formula in special cases such as the simplified form obtained when a single object is placed next to a mirror. We illustrate the approach by describing the force between scatterers in one dimension and three dimensions, where we obtain the interaction energy between two spherical bodies at all distances. We also consider the cases of scalar Casimir effect between spherical bodies with different radii as well as different dielectric functions.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.78.014103PublisherUNSPECIFIED
http://link.aps.org/abstract/PRB/v78/e014103PublisherUNSPECIFIED
Additional Information:©2008 The American Physical Society. (Received 4 September 2007; revised 24 April 2008; published 8 July 2008)
Subject Keywords:dielectric function
Issue or Number:1
Record Number:CaltechAUTHORS:KENprb08
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:KENprb08
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11106
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Jul 2008 04:51
Last Modified:03 Oct 2019 00:16

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