A Canonical Relativistic Approach to Quantize Electromagnetic Field in the Presence of Moving Magneto-Dielectric Media

Abstract

A canonical relativistic formulation is introduced to quantize electromagnetic field in the presence of a polarizable and magnetizable moving medium. The medium is modeled by a continuum of four vectors in a phenomenological way. The covariant wave equation for the vector potential and the covariant constitutive equation of the medium are obtained as the Euler- Lagrange equations using the Lagrangian of the total system. A tensor of the third rank which couples the electromagnetic field with the medium is introduced and the susceptibility tensor of the medium is obtained in terms of the coupling tensor. Also the noise polarization tensor is calculated in terms of the coupling tensor and the creation and annihilation operators of the four vectors modeling the medium.

7 pages, no figure

References in corpus (6)

• Field quantization in inhomogeneous absorptive dielectrics
• Field quantization in inhomogeneous anisotropic dielectrics with spatio-temporal dispersion
• Electromagnetic field quantization in a linear polarizable and magnetizable medium
• Electromagnetic field quantization in an anisotropic magnetodielectric medium with spatial-temporal dispersion
• Electromagnetic field quantization in a magnetodielectric medium with external charges
• Electromagnetic field quantization in an anisotropic and inhomogeneous magnetodielectric

Cited by in corpus (9)

• Canonical quantization of the electromagnetic field interacting with a moving dielectric
• Consistency of certain constitutive relations with quantum electromagnetism
• Green's Function expansion of scalar and vector fields in the presence of a medium
• Canonical quantization of the electromagnetic field in the presence of non-dispersive bi-anisotropic inhomogeneous magnetodielectric media
• A perturbative approach to calculating the Casimir force in fluctuating scalar and vector fields
• Relativistic and non-relativistic quantum Brownian motion in an anisotropic dissipative medium
• Canonical quantization of electromagnetic field in the presence of absorbing bi-anisotropic multilayer magnetodielectric media
• Electromagnetic field quantization in the presence of a rotating body
• Quantum light propagation in a uniformly moving dissipative slab