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10: Addition of Angular Momentum

Last updated

Apr 1, 2025
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- 9.E: Spin Angular Momentum (Exercises)
- 10.1: General Principles of Angular Momentum

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Consider an electron in a hydrogen atom. As we have already seen, the electron’s motion through space is parameterized by the three quantum numbers $n$ , $l$ , and $m$ . (See Section [s10.4].) To these we must now add the two quantum numbers $s$ and $m_s$ that parameterize the electron’s internal motion. (See the previous chapter.) Now, the quantum numbers $l$ and $m$ specify the electron’s orbital angular momentum vector, ${\bf L}$ , (as much as it can be specified) whereas the quantum numbers $s$ and $m_s$ specify its spin angular momentum vector, ${\bf S}$ . But, if the electron possesses both orbital and spin angular momentum then what is its total angular momentum?

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