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| related topics |
| {force, casimir, field} |
| {equation, function, exp} |
| {temperature, thermal, energy} |
| {cos, sin, state} |
| {level, atom, field} |
| {operator, operators, space} |
| {wave, scattering, interference} |
| {time, decoherence, evolution} |
| {time, wave, function} |
| {light, field, probe} |
|
Three-dimensional Casimir force between absorbing multilayer dielectrics
Christian Raabe, Ludwig Knöll, Dirk-Gunnar Welsch
abstract: Recently the influence of dielectric and geometrical properties on the
Casimir force between dispersing and absorbing multilayered plates in the
zero-temperature limit has been studied within a 1D quantization scheme for the
electromagnetic field in the presence of causal media [R. Esquivel-Sirvent, C.
Villarreal, and G.H. Cocoletzi, Phys. Rev. Lett. 64, 052108 (2001)]. In the
present paper a rigorous 3D analysis is given, which shows that for complex
heterostructures the 1D theory only roughly reflects the dependence of the
Casimir force on the plate separation in general. Further, an extension of the
very recently derived formula for the Casimir force at zero temperature [M.S.
Toma\v{s}, Phys. Rev. A 66, 052103 (2002)] to finite temperatures is given, and
analytical expressions for specific distance laws in the zero-temperature limit
are derived. In particular, it is shown that the Casimir force between two
single-slab plates behaves asymptotically like $d^{-6}$ in place of $d^{-4}$
($d$, plate separation).
- oai_identifier:
- oai:arXiv.org:quant-ph/0212154
- categories:
- quant-ph
- comments:
- 19 pages, 17 figures -- published in Phys. Rev. A
- doi:
- 10.1103/PhysRevA.68.033810
- arxiv_id:
- quant-ph/0212154
- created:
- 2002-12-30
- updated:
- 2004-04-19
Full article ▸
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