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Abstract

We derive the exact Casimir–Polder potential for a polarizable microparticle inside an ideal metal cylindrical shell using the Green function method. The exact Casimir–Polder potential for a particle outside a shell, obtained recently by using the Hamiltonian approach, is rederived and confirmed. The exact quantum field theoretical result is compared with that obtained using the proximity force approximation and a very good agreement is demonstrated at separations below 0.1R, where R is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.

Details

Title
Exact Casimir–Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation
Author
Bezerra, V B 1 ; E R Bezerra de Mello 1 ; Klimchitskaya, G L 2 ; Mostepanenko, V M 3 ; Saharian, A A 4 

 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil 
 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil; North-West Technical University, St. Petersburg, Russia 
 Department of Physics, Federal University of Paraíba, João Pessoa, Pb, Brazil; Noncommercial Partnership “Scientific Instruments”, Moscow, Russia 
 Department of Physics, Yerevan State University, Yerevan, Armenia 
Pages
1-8
Publication year
2011
Publication date
Apr 2011
Publisher
Springer Nature B.V.
ISSN
14346044
e-ISSN
14346052
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2294071774
Copyright
The European Physical Journal C is a copyright of Springer, (2011). All Rights Reserved.