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Dinámica clásica y cuántica de una partícula cargada en un campo magnetostático uniforme

Keywords: Classical dynamics , Poisson brackets , quantum dynamics , quantum commutators , Landau levels , magnetic length.

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Abstract:

In this paper we present an example of use of Poisson brackets and quantum commutators to solve the Hamilton and Heissenberg equations of motion respectively in the case of a particle immerse on a uniform and constant magnetic field in order to establish analogies between classical and quantum dynamics. We also give an interpretation of the so called magnetic length of the system in terms of operators related to the classical system trajectories.

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