Comment on "Electric dipole interaction in quantum optics"
- 1 December 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 22 (6) , 2891-2893
- https://doi.org/10.1103/physreva.22.2891
Abstract
It is shown that Mandel's argument that the electric dipole interaction in quantum electrodynamics is inconsistent with Maxwell's equations relies on the use of the wrong canonical momenta in the multipolar form of the Hamiltonian; the field conjugate to the vector potential in the Coulomb gauge is proportional to the transverse displacement vector and not, as in the minimal-coupling form of the Hamiltonian, to the transverse electric field, and similarly the canonical momenta of the charged particles differ in the two cases. Some consequences of this for time-dependent perturbation theory are discussed.Keywords
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