Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field

Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field

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.

Saved in:
Bibliographic Details
Main Authors: Villamizar,David Velasco, Russell,Benjamin
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2018
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000400604
Tags: Add Tag
No Tags, Be the first to tag this record!
id oai:scielo:S1806-11172018000400604
record_format ojs
spelling oai:scielo:S1806-111720180004006042018-06-08Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic FieldVillamizar,David VelascoRussell,Benjamin Quantum Mechanics Schrödinger Equation Dirac Equation Uniform Magnetic Field 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.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física v.40 n.4 20182018-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000400604en10.1590/1806-9126-rbef-2018-0035
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Villamizar,David Velasco
Russell,Benjamin
spellingShingle Villamizar,David Velasco
Russell,Benjamin
Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
author_facet Villamizar,David Velasco
Russell,Benjamin
author_sort Villamizar,David Velasco
title Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_short Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_full Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_fullStr Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_full_unstemmed Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
title_sort comparing the schrödinger and dirac descriptions of an electron in a uniform magnetic field
description 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.
publisher Sociedade Brasileira de Física
publishDate 2018
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172018000400604
work_keys_str_mv AT villamizardavidvelasco comparingtheschrodingeranddiracdescriptionsofanelectroninauniformmagneticfield
AT russellbenjamin comparingtheschrodingeranddiracdescriptionsofanelectroninauniformmagneticfield
_version_ 1756430744757993472

Similar Items