2007/02/06 by V. M. Mostepanenko · 1 citation
Mathematics · Physics and Astronomy · #Casimir effect #Casimir pressure #Classical mechanics #Gravitation #Gravitational field #Mathematics #Physics #Quantization (signal processing) #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum gravity #Quantum mechanics #Theoretical physics #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1142/9789812834300_0501
20 pages, 4 figures, uses ws-procs975x65.cls, to appear in Proceedings of 11th Marsel Grossmann Meeting on General Relativity (Berlin, 2006)
arxiv created 2007/02/06 · openalex publication_date 2008/09/01 · arxiv updated 2016/11/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We review recent developments in the Casimir effect which arises in quantization volumes restricted by material boundaries and in spaces with non-Euclidean topology. The starting point of our discussion is the novel exact solution for the electromagnetic Casimir force in the configuration of a cylinder above a plate. The related work for the scalar Casimir effect in sphere-plate configuration is also considered, and the application region of the proximity force theorem is discussed. Next we consider new experiments on the measurement of the Casimir force between metals and between metal and semiconductor. The complicated problem connected with the theory of the thermal Casimir force between real metals is analyzed in detail. The present situation regarding different theoretical approaches to the resolution of this problem is summarized. We conclude with new constraints on non-Newtonian gravity obtained using the results of latest Casimir force measurements and compare them with constraints following from the most recent gravitational experiments.