Casimir effect for a sphere and a cylinder in front of a plane and corrections to the proximity force theorem

2006/02/28 by M. Bordag · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.73.125018

published as Phys.Rev.D73:125018,2006 · 29 pages, references updated, note added and misprints corrected

openalex publication_date 2006/06/20 · arxiv created 2006/11/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a path integral approach we rederive a recently found representation of the Casimir energy for a sphere and a cylinder in front of a plane and derive the first correction to the proximity force theorem.

Citations

• Quantum energies with worldline numerics
• New Developments in the Casimir Effect
• Scalar Casimir effect between Dirichlet spheres or a plate and a sphere
• Worldline algorithms for Casimir configurations

Cited by

• The Casimir effect in microstructured geometries
• Casimir Physics