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Canonical quantization of electromagnetism in spatially dispersive media

Quantum Physics 2015-06-17 v2 Statistical Mechanics

Abstract

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.

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Cite

@article{arxiv.1309.0398,
  title  = {Canonical quantization of electromagnetism in spatially dispersive media},
  author = {S. A. R. Horsley and T. G. Philbin},
  journal= {arXiv preprint arXiv:1309.0398},
  year   = {2015}
}

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16 pages