= Bohr-Sommerfeld quantization
{c}
{title2=$\oint p\,dq=2\pi\hbar(N+\mu/4)$}
= Bohr-Sommerfeld quantization condition
{c}
{synonym}
Single-valued semiclassical phase on a closed classical orbit quantizes its action, with <Maslov index> $\mu$ accounting for turning-point phase corrections. A cyclic angle has no oscillator turning points: its wavefunctions are $e^{i\ell q}$, with signed $\ell\in\mathbb Z$ for a $2\pi$ period and <canonical momentum> $\hbar\ell$. There is no half-integer shift for that free angular coordinate.
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