= Onsager quantization
{c}
{title2=$S_k(E_n)=2\pi eB(n+\gamma)/\hbar$}
For a semiclassical closed electron orbit in a plane perpendicular to a uniform <magnetic field>, its wavevector-space area obeys $S_k(E_n)=2\pi eB(n+\gamma)/\hbar$. An ordinary parabolic band without an extra geometric phase has $\gamma=1/2$. The semiclassical equations rotate and scale the real-space orbit by $\hbar/(eB)$, giving $S_r=[\hbar/(eB)]^2S_k$. For a parabolic band this is equivalent to $E_n=\hbar\omega_c(n+1/2)$.
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