In quantum mechanics, momentum of microparticles p=mv, where m and v are respectively, the rest mass and the speed of the microparticles, with its wavelength [lambda] associated by de Broglie relation
The expression m[upsilon][lambda] = h used in (1) to arrive at the total electron kinetic energy is the de Broglie relation expressed in simple, physically intuitive terms: the de Broglie relation yields the product of the electron mass m, its average velocity [upsilon], and the path length [lambda] over which its instantaneous velocity varies.
Thus Beckmann's de Broglie relation is in relativistic agreement with the PV result.
3] = 0 from the final two brackets yields the de Broglie relation
567], in order to apply the de Broglie relation, the following assumption is made
c, and from the de Broglie relation it follows that [lambda] = hc/[?
Nevertheless, we shall see that (23) is consistent with the application of the de Broglie relation, and actually resolves some ambiguities in quantum mechanics .
c]/2[pi]) with the particle mass m, while the de Broglie relation
The de Broglie relations
derived from the electron and proton coupling to the Planck vacuum state.
d] obeying the de Broglie relations, represents a de Broglie wave.
Despite the hypothetic phase wave appeared supernatural and is today not held a standard physics notion, the de Broglie wave has proven in modern physics to depict accurately the matter particles, and the de Broglie relations proven their fundamental relations.