Guilfoyle, B. and Klingenberg, W. and Sen, S. (2005) 'The Casimir effect between non-parallel plates by geometric optics.', Reviews in mathematical physics., 17 (8). 859 - 880.
The first two authors have developed a technique which uses the complex geometry of the space of oriented affine lines in ℝ3 to describe the reflection of rays off a surface. This can be viewed as a parametric approach to geometric optics which has many possible applications. Recently, Jaffe and Scardicchio have developed a geometric optics approximation to the Casimir effect and the main purpose of this paper is to show that the quantities involved can be easily computed by this complex formalism. To illustrate this, we determine explicitly and in closed form the geometric optics approximation of the Casimir force between two non-parallel plates. By making one of the plates finite, we regularize the divergence that is caused by the intersection of the planes. In the parallel plate limit, we prove that our expression reduces to Casimir's original result.
|Keywords:||Casimir force, Geometric optics.|
|Full text:||Full text not available from this repository.|
|Publisher Web site:||http://dx.doi.org/10.1142/S0129055X05002431|
|Date accepted:||No date available|
|Date deposited:||No date available|
|Date of first online publication:||September 2005|
|Date first made open access:||No date available|
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