ar X iv : h ep - t h / 98 03 18 7 v 1 2 3 M ar 1 99 8 Charged Particles in a 2 + 1 Curved Background ∗

نویسنده

  • P. Maraner
چکیده

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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تاریخ انتشار 1998