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## Homework Statement

Show that the de Broglie wavelength of a particle of mass m and kinetic energy KE is given by

[tex]\lambda = \frac{hc}{\sqrt{KE(KE + 2mc^2)}}[/tex]

## Homework Equations

## The Attempt at a Solution

I know:

[tex]KE = {\gamma}mc^2 - mc^2 = pc - mc^2[/tex]

But from here I am lost. I have a hunch that I need to use the equation that equates Energy and Momentum, but I'm lost.

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