Quantization of general linear electrodynamics
Abstract
General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength 2-form and induction 2-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory predictive and physically interpretable. Taking into account the higher-order polynomial dispersion relation and associated causal structure of general linear electrodynamics, we carefully develop its Hamiltonian formulation from first principles. Canonical quantization of the resulting constrained system then results in a quantum vacuum which is sensitive to the constitutive tensor of the classical theory. As an application we calculate the Casimir effect in a birefringent linear optical medium.
- Authors:
-
- Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Am Muehlenberg 1, 14476 Potsdam (Germany)
- Publication Date:
- OSTI Identifier:
- 21537556
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.83.064036; (c) 2011 American Institute of Physics; Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CASIMIR EFFECT; COMPUTERIZED SIMULATION; DENSITY; DISPERSION RELATIONS; ELECTRODYNAMICS; HAMILTONIANS; INDUCTION; QUANTIZATION; MATHEMATICAL OPERATORS; PHYSICAL PROPERTIES; QUANTUM OPERATORS; SIMULATION
Citation Formats
Rivera, Sergio, and Schuller, Frederic P. Quantization of general linear electrodynamics. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.064036.
Rivera, Sergio, & Schuller, Frederic P. Quantization of general linear electrodynamics. United States. https://doi.org/10.1103/PHYSREVD.83.064036
Rivera, Sergio, and Schuller, Frederic P. 2011.
"Quantization of general linear electrodynamics". United States. https://doi.org/10.1103/PHYSREVD.83.064036.
@article{osti_21537556,
title = {Quantization of general linear electrodynamics},
author = {Rivera, Sergio and Schuller, Frederic P},
abstractNote = {General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength 2-form and induction 2-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory predictive and physically interpretable. Taking into account the higher-order polynomial dispersion relation and associated causal structure of general linear electrodynamics, we carefully develop its Hamiltonian formulation from first principles. Canonical quantization of the resulting constrained system then results in a quantum vacuum which is sensitive to the constitutive tensor of the classical theory. As an application we calculate the Casimir effect in a birefringent linear optical medium.},
doi = {10.1103/PHYSREVD.83.064036},
url = {https://www.osti.gov/biblio/21537556},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 6,
volume = 83,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}
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