Canonical quantization of macroscopic electromagnetism

Thomas Gerard Philbin

doi:10.1088/1367-2630/12/12/123008

Canonical quantization of macroscopic electromagnetism

Thomas Gerard Philbin

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

Application of the standard canonical quantization rules of quantum field theory to macroscopic electromagnetism has encountered obstacles due to material dispersion and absorption. This has led to a phenomenological approach to macroscopic quantum electrodynamics where no canonical formulation is attempted. In this paper macroscopic electromagnetism is canonically quantized. The results apply to any linear, inhomogeneous, magnetodielectric medium with dielectric functions that obey the Kramers–Kronig relations. The prescriptions of the phenomenological approach are derived from the canonical theory.

Original language	English
Article number	123008
Journal	New Journal of Physics
Volume	12
DOIs	https://doi.org/10.1088/1367-2630/12/12/123008
Publication status	Published - Dec 2010

Keywords

Quantum field theory
Macroscopic electromagnetism
Macroscopic quantum electrodynamics

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10.1088/1367-2630/12/12/123008

123008
© 2010 IOP Publishing and Deutsche Physikalische Gesellschaft. T G Philbin 2010 New J. Phys. 12 123008. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. 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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abstract = "Application of the standard canonical quantization rules of quantum field theory to macroscopic electromagnetism has encountered obstacles due to material dispersion and absorption. This has led to a phenomenological approach to macroscopic quantum electrodynamics where no canonical formulation is attempted. In this paper macroscopic electromagnetism is canonically quantized. The results apply to any linear, inhomogeneous, magnetodielectric medium with dielectric functions that obey the Kramers–Kronig relations. The prescriptions of the phenomenological approach are derived from the canonical theory.",

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AB - Application of the standard canonical quantization rules of quantum field theory to macroscopic electromagnetism has encountered obstacles due to material dispersion and absorption. This has led to a phenomenological approach to macroscopic quantum electrodynamics where no canonical formulation is attempted. In this paper macroscopic electromagnetism is canonically quantized. The results apply to any linear, inhomogeneous, magnetodielectric medium with dielectric functions that obey the Kramers–Kronig relations. The prescriptions of the phenomenological approach are derived from the canonical theory.

KW - Quantum field theory

KW - Macroscopic electromagnetism

KW - Macroscopic quantum electrodynamics

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VL - 12

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JF - New Journal of Physics

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Canonical quantization of macroscopic electromagnetism

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