Journal de Physique I

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DOI: 10.1051/jp1:1996100
J. Phys. I France 6 (1996) 861-872

2D Electron in a Maghetic Field with Dissipation

G. Cristofano, D. Giuliano and G. Maiella

Dipartimento di Scienze Fisiche, Università di Napoli, INFN - Sezione di Napoli, Mostra d'Oltremare, Pad. 19, 80125 Napoli, Italy

(Received 20 December 1995, received in final form 3 April 1996, accepted 9 April 1996)

Abstract
We give a method for determining a complete set of constants of motion for the system of a 2D electron in an external magnetic field and in the presence of a dissipative term $\eta\dot{q}$ ; the time-dependent coherent states are then uniquely determined and the effective Hamiltonian found.