# Landau quantization of cyclotron orbit

## Main Question or Discussion Point

I don't know what the speed of light c is doing in the Hamiltonian for the Landau quantization. The term doesn't have dimensions of momentum anymore.

$\hat{H}=\dfrac{\hat{p}^2_x}{2m}+\dfrac{1}{2m}\left(\hat{p}_y-\dfrac{q|\vec{B}|}{c}\hat{x}\right)^2$

Any ideas?

thanks.

## Answers and Replies

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Cthugha
Science Advisor
This is the Hamiltonian for Landau quantization when using CGS units. Have a look at the SI version or convert it back yourself and you will find that the terms are ok.

yes. that's it! thanks.