We analyze the chiral quantum oscillator: a quantum-mechanical massless particle, restricted to move on a two-dimensional plane, under a constant, perpendicular magnetic field. The oscillator, which is constrained to wind around the origin in one sense only, mimics the behavior of the two-dimensional self-dual field. This model is used to study certain aspects of the chiral-boson theory.
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Barreira et al. (1992) studied this question.
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