WAVE NATURE OF ELECTRON 249 where h is Planck's constant. This relation must apply in all Galilean systems and in the intrinsic system of the corpuscle where the energy of the corpuscle, according to Einstein, reduces to its internal energy mc(m being the rest mass we have Inoo= nm This relation defines the frequency voas a function of the rest mass m, or The quantity of movement is a vector p equal to mov and we have The quantity; n is the distance between two consecutive peaks of the wave, This is a fundamental relation of the theory The whole of the foregoing relates to the very simple case where there is no field of force at all acting on the corpuscles. I shall show you very briefly how to generalize the theory in the case of a corpuscle moving in a constant field of force deriving from a potential function F(xyz). By reasoning which I shall pass over, we are then led to assume that the propagation of the wave corresponds to a refractive index which varies from point to point in space in accordance with the formula )--WAVE NATURE OF ELECTRON 249 where h is Planck’s constant. This relation must apply in all Galilean systems and in the intrinsic system of the corpuscle where the energy of the corpuscle, according to Einstein, reduces to its internal energy moc 2 (m0 being the rest mass) we have hvo = moc 2 This relation defines the frequency vO as a function of the rest mass mo , or inversely. The quantity of movement is a vector p equal to and we have: (p)= lfbv -WV hv-h 2/I=2- c2 =-F-n The quantity; l is the distance between two consecutive peaks of the wave, i.e. the "wavelength". Hence: This is a fundamental relation of the theory. The whole of the foregoing relates to the very simple case where there is no field of force at all acting on the corpuscles. I shall show you very briefly how to generalize the theory in the case of a corpuscle moving in a constant field of force deriving from a potential function F(xyz). By reasoning which I shall pass over, we are then led to assume that the propagation of the wave corresponds to a refractive index which varies from point to point in space in accordance with the formula: