Semiclassical charged-kink spectrum with a theta angle (source code)

= Semiclassical charged-kink spectrum with a theta angle
{title2=$M_{T,\ell}=m\sqrt{r^2+(\ell+\theta T/(2\pi))^2}$}

In units $\hbar=1$, periodic-angle quantization gives canonical charge $Q_\theta=\ell\in\mathbb Z$. The mechanical charge is $Q_0=\ell+\theta T/(2\pi)$ and the rotating-kink <mass> gives the displayed leading semiclassical spectrum. The $T=1$ and $T=-1$ families are related by reversing the <kink>. Theta periodicity relabels the integer; fluctuation corrections are not excluded by this leading calculation.