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The Dirac Equation in the Low Energy Limit
Umeå University, Faculty of Science and Technology, Department of Physics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

The purpose of this work is to give an introduction to relativistic quantum mechanics for the electron. First a review of the Dirac equation and its application to a free electron and an electron in an electromagnetic field will be given. In particular the hydrogen atom is studied. The low energy limit and the lowest order corrections to non-relativistic quantum mechanics are investigated. These corrections include, among others, the gyromagnetic ratio of the electron and spin-orbit coupling in the hydrogen atom. The low energy limit will be studied both in the usual Pauli-Dirac representation and by using the Foldy-Wouthuysen transformation. The Pauli-Dirac representation is used to obtain the correction terms for the energy levels in the hydrogen atom. The Foldy-Wouthuysen transformation is applied to obtain the corresponding Hamiltonian corrections to order α4 .

Place, publisher, year, edition, pages
2016.
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:umu:diva-130517OAI: oai:DiVA.org:umu-130517DiVA: diva2:1067326
Subject / course
Fysik C - Examensarbete
Educational program
Bachelor of Science in Physics and Applied Mathematics
Available from: 2017-01-20 Created: 2017-01-20Bibliographically approved

Open Access in DiVA

fulltext(429 kB)56 downloads
File information
File name FULLTEXT01.pdfFile size 429 kBChecksum SHA-512
5a8e64eb11b1a249052a5d053a285bff398db7c1278f96009eeebb93611d0b69d9e33bbb0bd47477d5d3d5363d4bb6f57de9469beefb05c268588f9d742b7d76
Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf