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Journal of Nonlinear Mathematical Physics

States of a Charged Particle with a Tensor-Like Mass in External Constant Magnetic Field

A.A. Borghardt, D.Ya. Karpenko, D.V. Kashkakha

Published Jan 1, 1997• 0 citations
Publisher

Abstract

Solutions of the Schrödinger equation for a particle with a tensor-like mass are considered. It is shown that the problem of determination of the coherent states in this case is reduced to integration of the nonlinear system of ordinary differential equations.
DOI
10.2991/jnmp.1997.4.1-2.30

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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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