De-broglie Matter Waves

This tells us the phase velocity u =ω/k of the matter wave for any velocity, which automatically gives us the wavelength since u =λ / v .

Strictly speaking, this derivation only applied to light quanta because there was no scientic evidence at the time to suggest that other types of particles obeyed the Planck-Einstein equation. So when de Broglie concluded the derivation with the statement, We are then inclined to admit that any moving
body may be accompanied by a wave and that it is impossible to disjoin motion of body and propagation of wave" [6] he was taking a radial step.