Bulletin of the Korean Chemical Society

Korean Chemical Society (대한화학회)
권호 표지
DOI QR코드

DOI QR Code

The Gauge Invariant Formulation for the Interaction of the Quantized Radiation Field with Matter

  • Published : 1999.06.20
Download PDF
⟨ Previous Next ⟩

Abstract

It has been proved by the semi-classical gauge invariant formulation (GIF) that the correct interaction operator for coupling the field-free material states with the radiation field must be the position form regardless of the gauge chosen for expressing the electromagnetic potentials, in accordance with the well-established principle of gauge invariance. The semi-classical GIF is now extended to the quantized radiation field interacting with matter by defining the energy operator for the quantized radiation field in the presence of matter. It will be shown in this paper that the use of the energy operator guarantees the position form of the interaction operator even in the Coulomb gauge, contrary to the conventional approach in which the dark material Hamiltonian is used to get the interaction operator of the momentum form. The multipolar Hamiltonian is examined in the context of the quantum mechanical gauge transformation.

Keywords

References

  1. Quantum Mechanics Cohen-Tannoudji, C.;Diu, B.;Laloe, F.
  2. Phys. Rev. v.85 Lamb, Jr. W. E.
  3. J. Chem. Phys. v.78 Lee, D.;Albrecht, A. C.
  4. J. Chem. Phys. v.78 Lee, D.;Albrecht, A. C.
  5. Ann. Phys. v.101 Yang, K.-H.
  6. Classical Electrodynamics, (2nd ed.) Jackson, J. D.
  7. Classical Theory of Fields Landau, L. D.;Lifshitz, E. M.
  8. Phys. Lett. v.96A Lee, D.;Albrecht, A. C.;Yang, K-H.;Kobe, D. H.
  9. Introductory Quantum Electrodynamics Power, E. A.
  10. Adv. Chem. Phys. v.83 Lee, D.;Albrecht, A. C.
  11. Advanced Quantam Mechanics Sakurai, J. J.
  12. The Quantum Theory of Radiation (3rd ed.) Heiter, W.
  13. Phil. Trans. Roy. Soc. v.215 Power, E. A.;Zienau, S.
  14. Am. J. Phys. v.46 Thirunamachandran, T.
  15. Principles of Nonlinear Optical Spectroscopy Mukamel, S.