The frequency spectrum of the Casimir effect

The frequency spectrum of the Casimir effect between parallel plates is studied. Calculations are performed for both the massless scalar field and the electromagnetic field cases, first using a spectral weight function, and then via the Fourier transform of the renormalized expectation of the Casimi...

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Veröffentlicht in:	Journal of mathematical physics 2005-10, Vol.46 (10), p.102105-102105-13
1. Verfasser:	Lang, Andrew S. I. D.
Format:	Artikel
Sprache:	eng
Schlagworte:	CASIMIR EFFECT CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ELECTROMAGNETIC FIELDS Exact sciences and technology FOURIER TRANSFORMATION Mathematical methods in physics MATHEMATICAL OPERATORS Mathematics Physics PLATES SCALAR FIELDS Sciences and techniques of general use WEIGHTING FUNCTIONS
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Zusammenfassung:	The frequency spectrum of the Casimir effect between parallel plates is studied. Calculations are performed for both the massless scalar field and the electromagnetic field cases, first using a spectral weight function, and then via the Fourier transform of the renormalized expectation of the Casimir energy-momentum operator. The Casimir force is calculated using the spectrum for two plates which are perfectly transparent in a frequency band. The result of this calculation suggests a way to detect the frequency spectrum of the Casimir effect.
ISSN:	0022-2488 1089-7658
DOI:	10.1063/1.2046529