- #1
paweld
- 255
- 0
I wonder if I can chose any 4x4 matrices [tex]\gamma^\mu[/tex] which fullfil anticommutationn relations
[tex]\{\gamma^\mu,\gamma^\nu \}=2g^{\mu\nu} [/tex] as a matricies
in Dirac equation:
[tex]
i \gamma^\mu \partial_\mu \psi= m \psi
[/tex].
What changes in the theory if I chose different matricies?
(of course I have to consistently use this different matricies)
What if this matricies has explicit time dependence and I'm
looking for solutions evolving in time as [tex] \exp (-i\omega t) [/tex].
[tex]\{\gamma^\mu,\gamma^\nu \}=2g^{\mu\nu} [/tex] as a matricies
in Dirac equation:
[tex]
i \gamma^\mu \partial_\mu \psi= m \psi
[/tex].
What changes in the theory if I chose different matricies?
(of course I have to consistently use this different matricies)
What if this matricies has explicit time dependence and I'm
looking for solutions evolving in time as [tex] \exp (-i\omega t) [/tex].