(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the antiparticle spinor solutions of the free Dirac equation whilst working in the Weyl representation.

2. Relevant 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}

$$

3. 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 :)

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# Homework Help: The Dirac equation in Weyl representation

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