Abstract
A rigorous quantum theory of optical NMR in atoms is developed in the coupling scheme J = L + S; F = J + I, where L, S and I are the orbital, spin electronic and nuclear spin quantum numbers, respectively. The optical NMR Hamiltonian is developed for a coupled state | LSJIFM F〉 in terms of products of 9 − j symbols, which are evaluated numerically. The optical NMR resonance condition is described in terms of the selection rule △ M F = 0, ±1 on the azimuthal quantum number of F, the net angular momentum. The theory shows clearly that the original NMR resonance line is shifted and split into several lines by the applied circularly polarised laser of optical NMR.
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