Kirchhoff's theorem and the Casimir effect
Instituto Astronómico e Geofísico, IAG/USP, Av. Miguel Stéfano 4200 CEP 04301-904 São Paulo, S.P. Brazil
2 Department of Physics, Technion, Israel Institute of Technology, Haifa 32000, Israel
Accepted: 25 March 1997
Kirchhoff's thermodynamically based classical theorem (the energy density of the radiation in equilibrium is a function of T only) is used to obtain a relation relevant to study of the Casimir effect. We use it to obtain the zero-temperature Casimir energy without recourse to regularizaion. The intimate connection between the zero-point energy and the thermal Bose occupancy expression noted by Einstein and Stern at the turn of the century is invoked to account for the results.
PACS: 03.65.-w – Quantum mechanics / 05.30.-d – Quantum statistical mechanics / 11.10.Wx – Finite-temperature field theory
© EDP Sciences, 1997