A canonical relativistic approach to quantize electromagnetic field in the presence of moving magneto-dielectric media
Faculty of science, University of Isfahan, Hezar Jarib Ave., Isfahan, Iran
Corresponding author: a firstname.lastname@example.org
Revised: 13 April 2009
Published online: 21 May 2009
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 the second rank antisymmetric tensors 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 fourth rank tensor which couples the electromagnetic field and the medium is introduced. The susceptibility tensor of the medium is obtained in terms of this coupling tensor. The noise polarization tensor is calculated in terms of both the coupling tensor and the ladder operators of the tensors modeling the medium.
PACS: 12.20.Ds – Specific calculations / 42.50.Nn – Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media; cooperative phenomena in quantum optical systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2009