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help1please
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Homework Statement
Momentum, involving variational calculus.
[tex]\psi^{\dagger}[/tex]
[tex]\bar{\psi}[/tex]
matrices [tex](\alpha, \beta)[/tex]
Homework Equations
[tex]i \bar{\psi} \gamma^0 = i\psi^{\dagger}[/tex]
The Attempt at a Solution
Am I to understand, that the momentum [tex]P=i\psi^{\dagger}[/tex], concentrating on the right hand side, is really just[tex]i \beta \bar{\psi}[/tex]
I am led to believe this since
[tex]\bar{\psi} \beta = \psi^{\dagger}[/tex]
Would I be right in saying this? If so, since the [tex]\gamma^{0}[/tex] is really just the beta matrix for the time derivatives [tex]\beta \partial_t[/tex], is this just
[tex]i \bar{\psi} \gamma^0 = \psi^{\dagger}\beta[/tex]