Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
AUTOR(ES)
Villamizar, David Velasco, Russell, Benjamin
FONTE
Rev. Bras. Ensino Fís.
DATA DE PUBLICAÇÃO
11/06/2018
RESUMO
Abstract 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.
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