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Revista Brasileira de Ensino de Física

Print version ISSN 1806-1117On-line version ISSN 1806-9126

Abstract

VILLAMIZAR, David Velasco  and  RUSSELL, Benjamin. Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field. Rev. Bras. Ensino Fís. [online]. 2018, vol.40, n.4, e5404.  Epub June 11, 2018. ISSN 1806-1117.  http://dx.doi.org/10.1590/1806-9126-rbef-2018-0035.

In this article we present a detailed description, using ladder operators, of an electron in a uniform magnetic field evolving under the Schrödinger equation. We go on to describe the same physical system in terms of relativistic quantum mechanics using the Dirac equation and to compare the two models in detail. The main differences between these two quantum mechanical approaches are discussed and we observe specifically how the relativistic phenomena modify the description of this particular quantum system by isolating effects which only exist in the relativistic model.

Keywords : Quantum Mechanics; Schrödinger Equation; Dirac Equation; Uniform Magnetic Field.

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