Coherent states and dissipation for the motion of a charged particle in a constant magnetic field

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Published 29 May 2003 Published under licence by IOP Publishing Ltd
, , Citation D Schuch and M Moshinsky 2003 J. Phys. A: Math. Gen. 36 6571 DOI 10.1088/0305-4470/36/23/320

0305-4470/36/23/6571

Abstract

We deal with the motion of a charged particle in a constant magnetic field when immersed in a medium that exerts some type of friction. We analyse the problem classically and also quantum mechanically. In the latter case we use coherent state solutions of the problem that, for large energies, compared with the one associated with the cyclotron frequency, reduce to the classical limit. To study the dynamical behaviour we use time-dependent wave packets that can be constructed by superposition of the coherent states.

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10.1088/0305-4470/36/23/320