In system with one electron total angular moment vector ##\vec{j}## is just:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\vec{j}=\vec{l}+\vec{s}[/tex]

http://selfstudy.in/MscPhysics/BScVectorModelOfAtom.pdf

In page 3

author draw a triangle. Intensities of the vectors are ##|\vec{l}|=\sqrt{l(l+1)}\hbar##, ##|\vec{s}|=\sqrt{s(s+1)}\hbar##, ##|\vec{j}|=\sqrt{j(j+1)}\hbar##

And then from nowhere ##j=l+s## or ##j=l-s##. Could you please explain me that! Tnx.

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# Vector model of atom. Hopefully easy question.

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