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Exact Casimir–Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation

  • V. B. Bezerra
  • E. R. Bezerra de Mello
  • G. L. Klimchitskaya
  • V. M. Mostepanenko
  • A. A. SaharianEmail author
Regular Article - Theoretical Physics

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.

Keywords

Static Limit Cylindrical Shell Transverse Magnetic Cosmic String Transverse Electric 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2011

Authors and Affiliations

  • V. B. Bezerra
    • 1
  • E. R. Bezerra de Mello
    • 1
  • G. L. Klimchitskaya
    • 1
    • 2
  • V. M. Mostepanenko
    • 1
    • 3
  • A. A. Saharian
    • 4
    Email author
  1. 1.Department of PhysicsFederal University of ParaíbaJoão PessoaBrazil
  2. 2.North-West Technical UniversitySt. PetersburgRussia
  3. 3.Noncommercial Partnership “Scientific Instruments”MoscowRussia
  4. 4.Department of PhysicsYerevan State UniversityYerevanArmenia

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