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arXiv · hep-th/9803187

Charged Particles in a 2+1 Curved Background

P. Maraner
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Abstract

The coupling to a 2+1 background geometry of a quantized charged test particle in a strong magnetic field is analyzed. Canonical operators adapting to the fast and slow freedoms produce a natural expansion in the inverse square root of the magnetic field strength. The fast freedom is solved to the second order. At any given time, space is parameterized by a couple of conjugate operators and effectively behaves as the `phase space' of the slow freedom. The slow Hamiltonian depends on the magnetic field norm, its covariant derivatives, the scalar curvature and presents a peculiar coupling with the spin-connection.

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P. Maraner. 1998-03-23. Charged Particles in a 2+1 Curved Background. https://doi.org/10.1088/0305-4470%2F31%2F46%2F020

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