Question: The matrices α i (i = 1, 2, 3) and β in the Dirac equation (1.8) can be chosen to have the explicit forms where

The matrices αi(i = 1, 2, 3) and β in the Dirac equation (1.8) can be chosen to have the explicit forms

-(:) *-(; 4).

where 1 and 0 are the 2 × 2 unit matrix and null matrix, respectively, and the Pauli spin matrices σi are-(? :). -- (? :). -1 -1

Check that these forms satisfy the anti commutation relations

[αi, β] ‰¡ αiβ + βαi = 0 and [αi, αj] = 0, where i ‰  j = 1, 2, 3.


Equation 1.8

-(:) *-(; 4). -(? :). -- (? :). -1 -1

-(:) *-(; 4). -(? :). -- (? :). -1 -1

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