Rotating-wave approximation: Difference between revisions

Content deleted Content added
Mathematical formulation: unclear (conjugate transpose of what?). I'm not an expert on the subject, so please correct if you know better
Mathematical formulation: I fixed the spelling of "Hermitian."
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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 [[HermiteanHermitian conjugate]]). The interaction Hamiltonian can then be shown to be (see the Derivations section below)
 
<math>H_I=-\hbar\left(\Omega e^{-i\omega_Lt}+\tilde{\Omega}e^{i\omega_Lt}\right)|\text{e}\rangle\langle\text{g}|