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): \[\begin{aligned} &\left|j=l \pm 1 / 2, m_{j}\right\rangle \\ &=\pm\left(\frac{l \pm m_{j}+1 / 2}{2 l+1}\right)^{1 / 2}\left|m_{l}=m_{j}-1 / 2, m_{s}=+1 / 2\right\rangle+\left(\frac{l \mp m_{j}+1 / 2}{2 l+1}\right)^{1 / 2}\left|m_{l}=m_{j}+1 / 2, m_{s}=-1 / 2\right\rangle . \end{aligned}\] Taking into account that the operator \(\hat{S}_{z}\) gives non-zero brackets only for \(m_{s}=m_{s^{\prime}}\), the \…
When a hot gas which is emitting or absorbing spectrum lines is placed in a magnetic field, the lines become split into several components. This is known as the Zeeman effect, discovered in 1896 by th...When a hot gas which is emitting or absorbing spectrum lines is placed in a magnetic field, the lines become split into several components. This is known as the Zeeman effect, discovered in 1896 by the Dutch spectroscopist P. Zeeman.
