Abstract
The two basic interaction Hamiltonians for the quantum optical problems, namely the so-called minimal coupling one (p.A) and the multipolar one (d.E) are studied in the dipole approximation. The rigorous and exactly solvable model of an oscillator interacting with the electromagnetic field is employed. The Power-Zienau transformation is discussed. It is concluded that both Hamiltonians lead to the same S-matrix. The existence of an example like the one studied in this paper can be treated as support for the formal proofs given in the literature, which show that both Hamiltonians lead to the same predictions in the case of the more realistic description of the interaction of atoms with photons.
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Schedule a callMore From: Quantum Optics: Journal of the European Optical Society Part B
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