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lelouch_v1

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- TL;DR Summary
- A little confused about the notation in the coupled and uncoupled basis

Suppose that we have two atoms with one proton one electron each, and these electrons interact with each other. The states for the electrons are the singlet(

for the singlet state, and if so, can i use the fact that

**S=0**) and the triplet states(**S=1**). My question is if i have to keep the nuclear spin of the protons parallel when i write the states, for example $$\frac{1}{\sqrt{2}}(|+-\rangle-|-+\rangle)_e\otimes|\Uparrow\rangle_p$$for the singlet state, and if so, can i use the fact that

**F=S+I**, which in this case whould yield the state |1,1?> ?(S=0,I=1/2+1/2=1,m_{s}=0,m_{I}=1)