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Spinors under Spatial Reflection

  • Walter Greiner

Abstract

Next we explore the improper Lorentz transformations of spatial reflections, which are given by

$$ \begin{gathered} x' = - x, \hfill \\ t' = t, \hfill \\ \end{gathered} $$
(4.1)
with a corresponding transformation matrix
$$a_{\mu }^{\nu } = \left( {\begin{array}{*{20}{c}} 1 & 0 & 0 & 0 \\ 0 & { - 1} & 0 & 0 \\ 0 & 0 & { - 1} & 0 \\ 0 & 0 & 0 & { - 1} \\ \end{array} } \right) = {{g}^{\mu }}^{\nu }$$
(4.2)

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

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

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