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What is the “direction” of the transition dipole moment? (Understanding Eq. 9.29, Charge and Energy Transfer 3rd Ed, May & Kuhn)

For a real vector $\mathbf{r}$, the direction is given by: $\hat{\mathbf{n}}=\mathbf{r}/\left|\mathbf{r}\right|$. The transition dipole moment is a complex vector. How do you define its direction? ...
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Is this picture of the electron dipole moment correct?

It's the electron spinning on its axis, and a magnetic moment shoots up. The direction of the North-South is opposite what I thought it should be. Why is the vector arrow pointing from North to ...
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Electric potential due to an infinite polarized sheet

I have an infinite plane (no thickness) with a uniform dipole density $\mathbf p = p \mathbf n$, with $\mathbf n$ being the normal to the plane. So the surface charge density is $\sigma = \mathbf p ...
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How to determine field strength of a dipole embedded in a sphere?

I have a dipole which is embedded in a sphere. Sections of the sphere may consist of materials of differing magnetic permeability. I'd like to determine the strength of the magnetic field at ...