Abstract
We prove that a spin-½ charged particle moving in a plane under the influence of a perpendicular magnetic field has (N1) zero-energy states, where N is the closest integer to the total flux in units of the flux quantum. The (N1) independent wave functions are calculated explicitly. The result, which is extremely simple to prove, is an example of the Atiyah-Singer index theorem when applied to the Euclidean two-dimensional Dirac equation.

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