Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves

Autor: Schoger, Tanja, Spreng, Benjamin, Ingold, Gert-Ludwig, Neto, Paulo A. Maia
Rok vydání: 2022
Předmět:
Zdroj: Int. J. Mod. Phys. A 37, 2241009 (2022)
Druh dokumentu: Working Paper
DOI: 10.1142/S0217751X22410093
Popis: For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of electromagnetic waves. We review work on the proximity-force approximation and corrections to it within the plane-wave basis for systems involving spherical objects. Previous work is extended by allowing for polarization mixing during the reflection at a sphere. In particular, explicit results are presented for perfect electromagnetic conductors. Furthermore, for perfect electric conductors at zero temperature, it is demonstrated that beyond the leading-order correction to the proximity-force approximation, terms of half-integer order in the distance between the sphere surfaces appear.
Comment: 15 pages, 4 figures
Databáze: arXiv