Casimir interaction between two concentric cylinders: Exact versus semiclassical results

2002/09/16 by Francisco D. Mazzitelli, M. J. Sánchez, María J. Sánchez +3 · 3 citations
Physics and Astronomy · #Mechanical and Optical Resonators #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th #quant-ph

paper · pdf · doi:10.1103/physreva.67.013807

published as Phys.Rev.A67:013807,2003 · 28 pages, 5 figures included

arxiv created 2002/09/16 · openalex publication_date 2003/01/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• The Casimir effect
• Quantum Electromagnetic Zero-Point Energy of a Conducting Spherical Shell and the Casimir Model for a Charged Particle
• New Developments in the Casimir Effect

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