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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2010

A constant of quantum motion in two dimensions in crossed magnetic and electric fields

Résumé

We consider the quantum dynamics of a single particle in the plane under the influence of a constant perpendicular magnetic and a crossed electric potential field. For a class of smooth and small potentials we construct a non-trivial invariant of motion. Do to so we proof that the Hamiltonian is unitarily equivalent to an effective Hamiltonian which commutes with the observable of kinetic energy.

Dates et versions

hal-00489353 , version 1 (04-06-2010)

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Joachim Asch, Cédric Meresse. A constant of quantum motion in two dimensions in crossed magnetic and electric fields. Journal of Physics A: Mathematical and Theoretical, 2010, 43, pp.474002. ⟨10.1088/1751-8113/43/47/474002⟩. ⟨hal-00489353⟩
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