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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. doi:10.1103/PhysRevB.78.014103.

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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.

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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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11106
Deposited By: Archive Administrator
Deposited On:15 Jul 2008 04:51
Last Modified:01 Jun 2023 23:25

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