The European Physical Journal D

, Volume 54, Issue 1, pp 115–118 | Cite as

A canonical relativistic approach to quantize electromagnetic field in the presence of moving magneto-dielectric media

  • M. AmooshahiEmail author
Quantum Optics and Quantum Information


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.


12.20.Ds Specific calculations 42.50.Nn Quantum optical phenomena in absorbing, amplifying, dispersive and conducting media cooperative phenomena in quantum optical systems 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. F. Kheirandish, M. Amooshahi, Phys. Rev. A 74, 042102 (2006) Google Scholar
  2. M. Amooshahi, F. Kheirandish, Phys. Rev. A 76, 062103 (2007) Google Scholar
  3. M. Amooshahi, F. Kheirandish, Mod. Phys. Lett. A 23, 2163 (2008) Google Scholar
  4. M. Amooshahi, F. Kheirandish, J. Phys. A: Math. Theor. 41, 275402 (2008) Google Scholar
  5. M. Amooshahi (2008) arXiv:0810.2695 [quant-ph] Google Scholar
  6. B. Huttner, S.M. Barnett, Phys. Rev. A 46, 4306 (1992) Google Scholar
  7. L.G. Suttorp, M. Wubs, Phys. Rev. A 70, 013816 (2004) Google Scholar
  8. L.G. Suttorp, J. Phys. A: Math. Theor. 40, 3697 (2007) Google Scholar
  9. W. Greiner, J. Reinhardt, Field Quantization (Springer-Verlag, Berlin Heidelberg, 1996) Google Scholar
  10. H.C. Chen, Theory of Electromagnetic Waves (McGraw-Hill, New York, 1983) Google Scholar
  11. L.D. Landau, E.M. Lifshitz, Electrodynamics of Continuous Media (Pergamon Press, Oxford, New York, 1960) Google Scholar
  12. R. Matloob, Phys. Rev. A 71, 062105 (2005) Google Scholar
  13. R. Matloob, Phys. Rev. A 72, 062103 (2005) Google Scholar
  14. J.D. Jackson, Classical Electrodynamics (John Wiley and Sons, New York, 1999) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Faculty of science, University of IsfahanIsfahanIran

Personalised recommendations