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

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. Th...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2011-04, Vol.71 (4), p.1-8, Article 1614
Main Authors: Bezerra, V. B., Bezerra de Mello, E. R., Klimchitskaya, G. L., Mostepanenko, V. M., Saharian, A. A.
Format: Article
Language:English
Subjects:
Approximation
Astronomy
Astrophysics and Cosmology
Cylinders
Cylindrical shells
Elementary Particles
Green's functions
Hadrons
Heavy Ions
Mathematical analysis
Measurement Science and Instrumentation
Microparticles
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Proximity
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Shells
String Theory
Topology
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Summary: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 0.1 R , where R is the radius of the cylinder. The developed methods are applicable in the theory of topological defects.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-011-1614-5