Comment on "Electric dipole interaction in quantum optics"
Edwin Albert Power, T. Thirunamachandran
It is shown that both Hamiltonians, one with $\ensuremath{-}\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\mu}}\ifmmode\cdot\else\textperiodcentered\fi{}\stackrel{\ensuremath{\rightarrow}}{\mathrm{E}}$ and the other with $\ensuremath{-}\stackrel{\ensuremath{\rightarrow}}{\ensuremath{\mu}}\ifmmode\cdot\else\textperiodcentered\fi{}\stackrel{\ensuremath{\rightarrow}}{\mathrm{A}}$ as interaction energy between an atom and the electromagnetic field, lead to Maxwell's equations. In contrast to the viewpoint in Mandel's paper, $\stackrel{\ensuremath{\rightarrow}}{\mathrm{E}}$ is considered to be proportional to the canonically conjugate field of the vector potential.
Physical Review A•Dec 1, 1980•22 citations