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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

Wave Equation Wave Packet Dirac Equation Negative Energy Nonrelativistic Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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