5.7) it has at most two non-vanishing terms, with the Clebsh-Gordan coefficients (5.190): \[\begin{aligned} &\left|j=l \pm 1 / 2, m_{j}\right\rangle \\ &=\pm\left(\frac{l \pm m_{j}+1 / 2}{2 l+1}\right...5.7) it has at most two non-vanishing terms, with the Clebsh-Gordan coefficients (5.190): |j=l±1/2,mj⟩=±(l±mj+1/22l+1)1/2|ml=mj−1/2,ms=+1/2⟩+(l∓mj+1/22l+1)1/2|ml=mj+1/2,ms=−1/2⟩. Taking into account that the operator ˆSz gives non-zero brackets only for ms=ms′, the \…
Rather, the g-factor is the ratio of the sum of the components of the orbital and spin magnetic moments in the direction of B to the sum of the components of the orbital and spin angu...Rather, the g-factor is the ratio of the sum of the components of the orbital and spin magnetic moments in the direction of B to the sum of the components of the orbital and spin angular momenta in that direction.
