An alternative response to the off-shell quantum fluctuations: A step forward in resolution of the Casimir puzzle
arXiv:2010.00998 · doi:10.1140/epjc/s10052-020-08465-y
Abstract
The spatially nonlocal response functions are proposed which nearly coincide with the commonly used local response for electromagnetic fields and fluctuations on the mass shell, but differ significantly for the off-shell fluctuating field. It is shown that the fundamental Lifshitz theory using the suggested response functions comes to an agreement with the measurement data for the Casimir force without neglecting the dissipation of free electrons. We demonstrate that reflectances of the on-shell electromagnetic waves calculated using the nonlocal and commonly employed local responses differ only slightly. The Kramers-Kronig relations for nonlocal response functions possessing the first- and second-order poles at zero frequency are derived, i.e., the proposed response satisfies the principle of causality. An application of these results to resolution of the Casimir puzzle, which lies in the fact that the Lifshitz theory is experimentally consistent only with discarded dissipation, is discussed.
13 pages, 4 figures
References in corpus (18)
- The electronic properties of graphene
- Casimir forces between arbitrary compact objects
- Casimir forces in a T operator approach
- Optical properties of gold films and the Casimir force
- Casimir Forces between Compact Objects: I. The Scalar Case
- Influence of random roughness on the Casimir force at small separations
- Demonstration of the Casimir force between ferromagnetic surfaces of a Ni-coated sphere and a Ni-coated plate
- Experiment and theory in the Casimir effect
- Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
- Kramers-Kronig relations for plasma-like permittivities and the Casimir force
- Plasma vs Drude modelling of the Casimir force: beyond the proximity force approximation
- Kelvin probe force microscopy of metallic surfaces used in Casimir force measurements
- Precision measurements of the gradient of the Casimir force between ultra clean metallic surfaces at larger separations
- On the Casimir entropy for a ball in front of a plane
- Comment on "Effects of spatial dispersion on electromagnetic surface modes and on modes associated with a gap between two half spaces"
- Going beyond PFA: a precise formula for the sphere-plate Casimir force
- Low-temperature behavior of the Casimir free energy and entropy of metallic films
- Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
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