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Canonical quantization of electromagnetism in spatially dispersive media

We find the action that describes the electromagnetic field in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the introduction of nonlocal response in the medium automatically regulates some previously divergent results, and we calculate a finite value for the intensity of the electromagnetic field at a fixed frequency within a homogeneous medium. To conclude we discuss the potential importance of spatial dispersion in taming the divergences that arise in calculations of Casimir-type effects.

preprint2014arXivOpen access
S. A. R. HorsleyT. G. Philbin
cond-mat.stat-mechquant-ph
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S. A. R. HorsleyT. G. Philbin

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