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About Dirac Equation

  1. Feb 15, 2013 #1
    While studying the Dirac Equation, we come across the gamma matrices. Can we consider these matrices as the components
    of a 4-vector ?
     
    Last edited: Feb 15, 2013
  2. jcsd
  3. Feb 15, 2013 #2
    This is the defining condition for the Dirac matrices. It is not derived, because it is a definition. It is required to allow the factorisation of the Klein Gordon equation in the derivation of the Dirac equation.
     
  4. Feb 15, 2013 #3

    Bill_K

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    Science Advisor

    No, the Dirac matrices are the Clebsch-Gordan coefficients that couple the product of two Dirac spinors to form a 4-vector. The result ψγμψ is a 4-vector.
     
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