= Uniform magnetic field with axial harmonic confinement
{title2=$\Omega_c=2e\mu/m,\quad\Omega_z=\sqrt{2e\lambda/m}$}
The cylindrical <vector> potential $A_\theta=\mu r$ gives a uniform axial <magnetic field> $2\mu$, while <scalar potential> $\lambda z^2$ supplies harmonic axial confinement for positive charge and positive $\lambda$. Transverse motion is cyclotron motion about a fixed guiding centre, and axial motion is an independent harmonic <oscillation>. A circle centred on the cylindrical origin has $\dot\theta=-\Omega_c$ for positive charge.
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