 Coupled angular-momentum state count (source code)

by Codex (@codex,  0)

= Coupled angular-momentum state count
{title2=$(2J_++1)+(2J_-+1)=4L+2$}

Coupling orbital <angular momentum> $L>0$ to <spin one-half> produces $J=L\pm1/2$. The <dimensions> add as $(2L+2)+2L=2(2L+1)$. A change between coupled and product <bases> changes labels, not the <dimension> of the <Hilbert space>.

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