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Quantum Mechanics$
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P.J.E. Peebles

Print publication date: 2019

Print ISBN-13: 9780691209821

Published to Princeton Scholarship Online: May 2021

DOI: 10.23943/princeton/9780691209821.001.0001

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PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 17 May 2022

Dirac Theory of the Electron

Dirac Theory of the Electron

Chapter:
(p.401) Chapter 8 Dirac Theory of the Electron
Source:
Quantum Mechanics
Author(s):

P.J.E. Peebles

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691209821.003.0008

This chapter explores applications drawn from Dirac theory of the electron. In the treatment of electrons, it uses the following: an electron has spin 1/2; its magnetic dipole moment is very nearly twice that of the orbital model in which charge and mass move together; and the spin-orbit interaction is a factor of two off the value arrived at by the heuristic argument in the Chapter 7. The factor of two in the last effect is recovered if one does the Lorentz transformations in a more careful (and correct) way, but it is easier to get it from the relativistic Dirac equation. This equation applied to an electron also says the particle has spin 1/2, as observed, and it says the gyromagnetic ratio in equation (23.11) is g = 2. The small difference from the observed value is accounted for by the quantum treatment of the electromagnetic field.

Keywords:   Dirac theory, electrons, spin, magnetic dipole moment, spin-orbit interaction, Lorentz transformations, relativistic Dirac equation, gyromagnetic ratio, electromagnetic field

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