 #1
 91
 11
Homework Statement
Compute the antiparticle spinor solutions of the free Dirac equation whilst working in the Weyl representation.
Homework Equations
Dirac equation
$$(\gamma^\mu P_\mu +m)v_{(p)}=0$$
Dirac matrices in the Weyl representation
$$
\gamma^\mu=
\begin{bmatrix}
0 & \sigma^i \\
\sigma^i & 0
\end{bmatrix}, \
\gamma^0=
\begin{bmatrix}
0 & I \\
I & 0
\end{bmatrix}
$$
The Attempt at a Solution
I have worked through the algebra numerous times but I can't seem to get the correct energy momentum relation out, my workings are attached, apologies I'm not too strong with Latex yet. Any ideas on where I may be going wrong would be greatly appreciated :)
Attachments

31 KB Views: 399