Question

a. Prove that the dimension of Dirac matrices ? and ??, j = 1, 2, 3, has to be an even number. b. Calculate the traces of Dirac matrices of an arbitrary (even) dimension.

          a. Prove that the dimension of Dirac matrices ? and ??, j = 1, 2, 3,
has to be an even number.
b. Calculate the traces of Dirac matrices of an arbitrary (even) dimension.

Added by Marie R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

07/10/2023

Step 1

Dirac matrices are used in the Dirac equation for relativistic quantum mechanics. They satisfy the anticommutation relations: \[ \{\alpha_i, \alpha_j\} = 2\delta_{ij}I, \quad \{\alpha_i, \beta\} = 0, \quad \beta^2 = I \] where \(I\) is the identity matrix, and Show more…

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