Wavelengths of Photons and Electrons

 

A photon and an electron do not have the same wavelength when they have the same energy. For example here is a calculation of wavelength for a photon and an (nonrelativistic) electron with the same kinetic energy:

 

 

simplifying the above equations gives the following shortcuts:

 

l (nm) = 1240/E(eV) for photons

l (nm) = 1.228/E1/2(eV) for electrons

 

 

 

 

But they do have the same wavelength if they have the same momentum!

 

 

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