Exact zero-point interaction energy between cylinders

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numer...

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Autores principales: Mazzitelli, F.D., Dalvit, D.A.R., Lombardo, F.C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2006
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13672630_v8_n_p_Mazzitelli
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Sumario:We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding to this configuration are studied both analytically and numerically. These include concentric cylinders, cylinder-plane and eccentric cylinders, for small and large separations between the surfaces. For small separations we recover the proximity approximation, while for large separations we find a weak logarithmic decay of the Casimir interaction energy, typical of cylindrical geometries. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.