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arXiv · 1006.0326

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

Joachim Asch·Cédric Meresse
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Abstract

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.

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Joachim Asch, Cédric Meresse. 2010-06-02. A constant of quantum motion in two dimensions in crossed magnetic and electric fields. https://doi.org/10.1088/1751-8113%2F43%2F47%2F474002

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