0106045v1

related topics
{force, casimir, field}
{equation, function, exp}
{measurement, state, measurements}
{operator, operators, space}
{cos, sin, state}
{field, particle, equation}
{phase, path, phys}
{group, space, representation}
{energy, state, states}
{state, states, coherent}
{photon, photons, single}
{time, wave, function}
{level, atom, field}

New Developments in the Casimir Effect

M. Bordag, U. Mohideen, V. M. Mostepanenko

abstract: We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.

oai_identifier:
oai:arXiv.org:quant-ph/0106045
categories:
quant-ph
comments:
275 pages,29 figures, to appear in Physics Reports
doi:
10.1016/S0370-1573(01)00015-1
arxiv_id:
quant-ph/0106045
journal_ref:
Phys.Rept.353:1-205,2001
created:
2001-06-08

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