Magnetic Moment of an Electron, its Spin and de Broglie Oscillations.

F. Suekane

Bezverkhniy Volodymyr Dmytrovych, Bezverkhniy Vitaliy Volodymyrovich.

Using the idea of de Broglie oscillations in elementary particles, for example, in an electron, it is easy to obtain quantitative values of the magnetic moment of an electron and the electron spin. Based on the oscillations the gyromagnetic ratio is logically explained. The calculations presented in the work once again confirm the reality of the existence of a periodic process in elementary particles, that is, de Broglie oscillations.

Stanisław Olszewski

The De Broglie's approach to the quantum theory, when combined with the conservation rule of momentum, allows one to calculate the velocity of the electron transition from a quantum state n to its neighbouring state as a function of n.The paper shows, for the case of the harmonic oscillator taken as an example, that the De Broglie's dependence of the transition velocity on n is equal to the n-dependence of that velocity calculated with the aid of the uncertainty principle for the energy and time.In the next step the minimal distance parameter provided by the uncertainty principle is applied in calculating the magnetic moment of the electron which effectuates its orbital motion in the magnetic field.This application gives readily the electron spin magnetic moment as well as the quantum of the magnetic flux known in superconductors as its result.

Jørgen Kalckar

Enrico Fermi

Alan M. Kadin

A simple real-space model for the free-electron wavefunction with spin is proposed, based on coherent vortices on the scale of h/mc, rotating at mc^2/h. This reproduces the proper values for electron spin and magnetic moment. Transformation to a moving reference frame turns this into a wave with the de Broglie wavelength. The mapping of the real two-dimensional vector phasor to the complex plane satisfies the Schrodinger equation. This suggests a fundamental role for spin in quantum mechanics.