Physics – Quantum Physics
Scientific paper
2011-07-21
Physics
Quantum Physics
13 pages, no figures. Updated version with generalization to finite temperature and added examples
Scientific paper
A general, exact formula is derived for the expectation value of the electromagnetic energy density of an inhomogeneous absorbing and dispersive dielectric medium in thermal equilibrium, assuming that the medium is well approximated as a continuum. From this formula we obtain the formal expression for the Casimir force density. Unlike most previous approaches to Casimir effects in which absorption is either ignored or admitted implicitly through the required analytic properties of the permittivity, we include dissipation explicitly via the coupling of each dipole oscillator of the medium to a reservoir of harmonic oscillators. We obtain the energy density and the Casimir force density as a consequence of the van der Waals interactions of the oscillators and also from Poynting's theorem.
Dalvit Diego A. R.
Milonni Peter W.
Rosa Felipe S. S.
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