λ_{e} = \frac{h}{p} = \frac{h}{\sqrt{2 m E_{max}}} = \frac{h}{\sqrt{2 m \frac{h c}{λ_{r}}}} = \sqrt{\frac{h λ_{r}}{2 m c}}

${\lambda_e = \frac{h}{p} = \frac{h}{\sqrt{2mE_\text{max}}} = \frac{h}{\sqrt{2m \frac{hc}{\lambda_r}}} = \sqrt{\frac{h \lambda_r}{2mc}}}$

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