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Dipole matrix element

Physics Asked on July 7, 2021

The dipole matrix element μ 12 of a transition between two states of the hydrogen atom given by mathematical value and polarization of the dipole moment. I know that the polarization is linear when the deference in magnetic quantum number is zero and circular when its equal 1. What about when delta m =2 ?
How the matrix element and the polarization becomes?

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