I’m confused about how you find the vector |s;s⟩ to use in the general equation(adsbygoogle = window.adsbygoogle || []).push({});

|θ,ϕ⟩=exp(−iϕS_{3}) * exp(−iθS_{2}) |s;s⟩

For spin Coherent states (From http://www.scholarpedia.org/article/Coherent_state_(Quantum_mechanics)#4._Spin_Coherent_States

Eq 12)

Or

how you find the vector |j,m=j⟩ to use in the equation

|θ,ϕ⟩=exp(iθ[J_{x}*sin(ϕ)−J_{y}*cos(ϕ)]) |j,m=j⟩

(From https://arxiv.org/pdf/0805.1264v1.pdf

Eq 14)

For the above state |j,m=j⟩ in the paper it appears to be assumed you should just know how to find this. I know that it is an eigenstate but I don’t know how to go from there to get that vector so that I can solve for |θ,ϕ⟩

I need it for j=4 but I’d like to be able to understand how to get it for any j and understand why?

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# I How do I find this state |j,m=j> to calculate another state?

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