Accounting for dissipation in the scattering approach to the Casimir energy

Abstract

We take dissipation into account in the derivation of the Casimir energy formula between two objects placed in a surrounding medium. The dissipation channels are considered explicitly in order to take advantage of the unitarity of the full scattering processes. We demonstrate that the Casimir energy is given by a scattering formula expressed in terms of the scattering amplitudes coupling internal channels and taking dissipation into account in an implicit way. We prove that this formula is also valid when the surrounding medium is dissipative.

arXiv comment11 pages, 4 figures

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Cited by in corpus (4)

• The Casimir pressure between metallic plates out of thermal equilibrium: Proposed test for the relaxation properties of free electrons
• Advancing numerics for the Casimir effect to experimentally relevant aspect ratios
• Casimir effect between spherical objects: proximity-force approximation and beyond using plane waves
• Quantum zero point electromagnetic energy difference between the superconducting and the normal phase in a HTc superconducting metal bulk sample