Possible mistake in calculation of reduced Matrix Element in J-Basis?

[lisamariepeters]

Hello,

I was comparing the results I get for the reduced Dipole matrix element for 87-Rubidium for both D1- D2- lines to Daniel Steck's data sheet (https://www.steck.us/alkalidata/rubidium85numbers.pdf). I noticed that the square-root prefactor is slightly different in the implementation of the getReducedMatrixElementJ-function and therefore leads to different results. I found my values to be agreeing upon replacing $j_{1}$ with $l_{1}$, also yielding better agreement with experimental data for the Rabi frequency.

Could you maybe specify what convention was used for this specific class-function and how the prefactor $\sqrt{(2.0 * j_{1} + 1.0) * (2.0 * j_{2} + 1.0))}$ came about?

I have attached the reference form Daniel Steck.