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Momentum term to be expanded in dirac gamma matrices

  • #1
167
0

Homework Statement



I need help to expand some matrices

Homework Equations



[tex]\pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0[/tex]

The Attempt at a Solution



How do I expand

[tex]i\hbar \gamma^0[/tex]

the matrix in this term, I am a bit lost. All the help would be appreciated!
 

Answers and Replies

  • #2
167
0

Homework Statement



I need help to expand some matrices

Homework Equations



[tex]\pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0[/tex]

The Attempt at a Solution



How do I expand

[tex]i\hbar \gamma^0[/tex]

the matrix in this term, I am a bit lost. All the help would be appreciated!

Can no one answer my question?
 
  • #3
TSny
Homework Helper
Gold Member
12,490
2,917
[tex]\pi = \frac{\partial \mathcal{L}}{\partial \dot{q}} = i \hbar \gamma^0[/tex]
That looks odd. Can you give us the Lagrangian that you're starting with?
 
  • #4
167
0
That looks odd. Can you give us the Lagrangian that you're starting with?
It has been a while since I dabbled with Dirac matrices... factoring gamma zero is simply 1.


DUH to me.
 

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