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DOE OSTI · 21537556

Quantization of general linear electrodynamics

Rivera, Sergio·Schuller, Frederic P
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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.

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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSCASIMIR EFFECTCOMPUTERIZED SIMULATIONDENSITYDISPERSION RELATIONSELECTRODYNAMICSHAMILTONIANSINDUCTIONMATHEMATICAL OPERATORSPHYSICAL PROPERTIESQUANTIZATIONQUANTUM OPERATORSSIMULATION

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Rivera, Sergio, Schuller, Frederic P. 2011-03-15. Quantization of general linear electrodynamics. https://doi.org/10.1103/physrevd.83.064036

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