- #1

rwooduk

- 762

- 59

## Homework Statement

## Homework Equations

Dirac equation: $$(\gamma ^{\mu}\rho_{\mu}-mc)\psi=0$$

## The Attempt at a Solution

If we multiply out the Dirac equation by inserting all it's components we get:

which if I've multiplied it correctly gives $$

\begin{bmatrix}

\frac{E}{c}-mc\\ 0

\\ \rho_{z}

\\ \rho_{x}+i\rho_{y}

\end{bmatrix}e^{-\frac{iEt}{\hbar}}=0$$

I'm not sure how to show the left hand side is equal to zero?

**edit**just realized that it is at rest so all the ##\rho## components would be zero, but then I still don't see how E/c - mc multiplied by the exponential would give zero?

Any help / ideas would really be appreciated.