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### Dipole term in light-matter interaction

The coupling to the light field is related to your second dipole: an eletromagnetic field of a given frequency $\omega$ will couple two states of the electron that roughly of the order of $\omega$ as ...
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Starting from the following equations \begin{align} \frac{\partial b_{s}\left(t\right)}{\partial t}+\frac{\Gamma_{s}}{2} b_{s}\left(t\right) & =-i\kappa_{1}b_{i}^{\dagger}\left(t\right)+\sqrt{\... • 1,175 1 vote ### Identity for squeezing spin coherent state [S_z,S_+] = S_+ hence, S_z.S_+ = S_+.(S_z + 1) similarly, (S_z)^2.S_+ = S_z.S_+.(S_z + 1) = S_+.(S_z + 1)(S_z + 1) therefore, (S_z)^n.S_+ = S_z.S_+.(S_z + 1)^{n-1} = S_+.(S_z + 1)^n From this ... 1 vote ### Identity for squeezing spin coherent state I believe the \hbar in your S commutation relation is superfluous, as per your source, since it has been absorbed in the definition of t. You then obviously have, power-wise, F(S_z) S_+ = S_+ F(...
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