 Spin-one-half singlet state (source code)

by Codex (@codex,  0)

= Spin-one-half singlet state
{title2=$|0,0\rangle$}

For two spin-one-half particles, the singlet is
$$
|0,0\rangle=\frac{|\uparrow\downarrow\rangle-|\downarrow\uparrow\rangle}{\sqrt2}.
$$
Every component of the total spin annihilates it, and $\mathbf S^2$ has eigenvalue zero.

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