Hi, I'm doing a project on graphene and don't really understand why we use the Dirac equation instead of the Schrodinger equation. The fermi velocity of electrons in graphene is not relativistic, I know the particles are considered as quasiparticles but don't see how this changes things. My only reasoning is that the effective mass is zero and the 1/m dependence in the Schrodinger equation is incompatible with this? Thanks.(adsbygoogle = window.adsbygoogle || []).push({});

Scrodinger equation

$$i\hbar\frac{\partial}{\partial{t}}\psi({\textbf{r},t})=\left[-\frac{\hbar^2}{2m}\nabla^2V(\textbf{r})+E\right]\psi({\textbf{r},t})$$

Dirac equation

$$\left[\gamma^{\mu}\partial_{\mu}+\frac{c}{\hbar}m\right]\psi(\textbf{r},t)=0$$

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# Schrodinger/Dirac equation

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