Casimir interaction between two concentric cylinders: Exact versus semiclassical results

Francisco D. Mazzitelli, María J. Sánchez, Norberto N. Scoccola, and Javier von Stecher
Phys. Rev. A 67, 013807 – Published 23 January 2003
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Abstract

The Casimir interaction between two perfectly conducting, infinite, concentric cylinders is computed using a semiclassical approximation that takes into account families of classical periodic orbits that reflect off both cylinders. It is then compared with the exact result obtained by the mode-by-mode summation technique. We analyze the validity of the semiclassical approximation and show that it improves the results obtained through the proximity theorem.

  • Received 16 September 2002

DOI:https://doi.org/10.1103/PhysRevA.67.013807

©2003 American Physical Society

Authors & Affiliations

Francisco D. Mazzitelli1, María J. Sánchez1, Norberto N. Scoccola2,3, and Javier von Stecher1

  • 1Departamento de Física J.J. Giambiagi, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires—Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina
  • 2Departmento de Física, Comisión Nacional de Energía Atómica, Avenida Libertador 8250, (1429) Buenos Aires, Argentina
  • 3Universidad Favaloro, Solís 453, (1078) Buenos Aires, Argentina

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Vol. 67, Iss. 1 — January 2003

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