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Canonical quantization of electromagnetism in spatially dispersive media

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posted on 2025-07-30, 22:42 authored by S.A.R. Horsley, Thomas G. Philbin
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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EP/I034548/1

EPSRC

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© 2014 IOP Publishing. Open access. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence (http://creativecommons.org/licenses/by/3.0). Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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There is another ORE record for this item in ORE at 10871/22109

Journal

New Journal of Physics

Publisher

IOP Publishing

Language

en

Citation

Vol. 16, Article 013030

Department

  • Physics and Astronomy

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