If I have a matter wave (for example, electron waves in a electronic microscope) at a given wavelength λ, and I move with respect (towards) them at speed [itex]v[/itex], I will measure a Doppler shift in the wave given by:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\frac{1}{{\lambda '}} = \frac{1}{{\lambda '}}\left( {1 + \frac{v}{{v_e }}} \right)[/itex]

where [itex]v_e[/itex] is the velocity of the electron wave. But the phase velocity? or the group velocity?

I know that [itex]v_{ph} v_{gr} = c^2[/itex], so the result can be very different.

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# Doppler effect in matter waves

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