Are there any known (collective spin) operators to raise or lower the quantum number(adsbygoogle = window.adsbygoogle || []).push({}); sin [tex]\left|{s,m}\right>[/tex] spin states?

I'm trying to construct coherent states varying the quantum numbersinstead of the well known spin coherent states varyingm.

I found a coherent-like state similar to the one I'm looking for:

[tex]\left|{\psi}\right>= \displaystyle\sum_{j\geq{\left |{m}\right |}}^{N/2} Y(j) \left|{j,m}\right> [/tex]

whereY(j)has to do with the number of young tableaux associated withjandNis the number of spin 1/2 particles we are considering. But I haven't been able to find a reference about it.

Any help will be appreciated.

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# Raising operator for s in |s,m> states

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