Spin ladder operator
= Spin ladder operator
{title2=$S_\pm$}
The operators $S_\pm=S_x\pm iS_y$ satisfy
$$
S_\pm|s,m\rangle
=\hbar\sqrt{s(s+1)-m(m\pm1)}|s,m\pm1\rangle.
$$
= Spin ladder operator
{title2=$S_\pm$}
The operators $S_\pm=S_x\pm iS_y$ satisfy
$$
S_\pm|s,m\rangle
=\hbar\sqrt{s(s+1)-m(m\pm1)}|s,m\pm1\rangle.
$$