Pseudo-conformal symmetry of a quantum charged particle in a mean zero static inhomogeneous magnetic field in two dimensions.

The [non-canonical] stress-energy tensor for a quantum charged spinless particle in an inhomogeneous magnetic field of zero mean in two dimensions is quasi-conserved and symmetric. At zero energy it is also traceless, but this continuum, non-interacting chiral (Arovas-Zhang) model is not conformally invariant. Rather, it is pseudo-conformally invariant, a la Bers' pseudo-analytic functions, reflecting a certain local anisotropy. There are two locally conserved currents; one of them is novel, and its generator is elucidated; the corresponding symmetry is broken by potential disorder. Certain of these properties are shared by a classical diffusing particle in a quenched random vorticity field.