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: <math>\vec{d} = \vec{d}_\text{eg}|\text{e}\rangle\langle\text{g}| + \vec{d}_\text{eg}^*|\text{g}\rangle\langle\text{e}|</math>
(with <math>^*</math> denoting the [[complex conjugate]]). The [[#Derivations|interaction Hamiltonian can then be shown to be
: <math>H_1 =
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