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Homework Statement
Just a matter of convention (question)
Homework Equations
[tex]\gamma^0 = \begin{pmatrix} 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & -1 & 0 \\0 & 0 & 0 & -1 \end{pmatrix}[/tex]
The Attempt at a Solution
If then,
[tex]\gamma^0 = \begin{pmatrix} 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & -1 & 0 \\0 & 0 & 0 & -1 \end{pmatrix}[/tex]
and [tex]\gamma^0[/tex] is just [tex]\beta[/tex] and [tex]\beta \alpha^k = \gamma^k[/tex] is it true then that
[tex]\gamma^k = \begin{pmatrix} 1 & 0 & 0 & 0 \\0 & 1 & 0 & 0 \\0 & 0 & -1 & 0 \\0 & 0 & 0 & -1 \end{pmatrix}\alpha^k[/tex]