dorsal/arxiv
View SchemaCasimir force between a sphere and a plane: spectral representation formalism
| Authors | Cecilia Noguez, C. E. Roman-Velazquez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0312090 |
| URL | https://arxiv.org/abs/quant-ph/0312090 |
Abstract
We develop a spectral representation formalism to calculate the Casimir force in the non-retarded limit, between a spherical particle and a substrate, both with arbitrary local dielectric properties. This spectral formalism allows one to do a systematic study of the force as a function of the geometrical variables separately from the dielectric properties. We found that the force does not follow a simple power-law as a function of the separation between the sphere and substrate. As a consequence, the non-retarded Casimir force is enhanced by several orders of magnitude as the sphere approaches the substrate, while at large separations the dipolar term dominates the force.
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"abstract": "We develop a spectral representation formalism to calculate the Casimir force\nin the non-retarded limit, between a spherical particle and a substrate, both\nwith arbitrary local dielectric properties. This spectral formalism allows one\nto do a systematic study of the force as a function of the geometrical\nvariables separately from the dielectric properties. We found that the force\ndoes not follow a simple power-law as a function of the separation between the\nsphere and substrate. As a consequence, the non-retarded Casimir force is\nenhanced by several orders of magnitude as the sphere approaches the substrate,\nwhile at large separations the dipolar term dominates the force.",
"arxiv_id": "quant-ph/0312090",
"authors": [
"Cecilia Noguez",
"C. E. Roman-Velazquez"
],
"categories": [
"quant-ph"
],
"title": "Casimir force between a sphere and a plane: spectral representation formalism",
"url": "https://arxiv.org/abs/quant-ph/0312090"
},
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