A Wave Equation for Spin-1/2 Particles: The Dirac Equation

  • Walter Greiner

Abstract

We follow the historical approach of Dirac who, in 1928, searched for a relativistic covariant wave equation of the Schrödinger form
$$ i\hbar \frac{{\partial \psi }} {{\partial t}} = \hat H\psi $$
(2.1)
with positive definite probability density. At that time there were doubts concerning the Klein—Gordon equation, which did not yield such probability density [see (1.29)]. The charge density interpretation was not known at that time and would have made little physical sense, because π+ and π mesons as charged spin-0 particles had not yet been discovered.

Keywords

Covariance 

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References

  1. 1.
    See W. Greiner: Quantum Mechanics - An Introduction, 3rd ed. (Springer, Berlin, Heidelberg 1994), Chaps. 12, 13.Google Scholar
  2. 4.
    See W. Greiner: Quantum Mechanics - An Introduction, 3rd ed. (Springer, Berlin, Heidelberg 1994), Chaps. 12, 13 and especially Exercise 13.1.Google Scholar
  3. 5.
    This relation is covered in detail in W. Greiner: Quantum Mechanics - An Introduction, 3rd ed. (Springer, Berlin, Heidelberg 1994).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Walter Greiner
    • 1
    • 2
  1. 1.Institut für Theoretische PhysikJohann Wolfgang Goethe-Universität FrankfurtFrankfurt am MainGermany
  2. 2.Frankfurt am MainGermany

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