TITLE:
De Broglie’s Velocity of Transition between Quantum Levels and the Quantum of the Magnetic Spin Moment Obtained from the Uncertainty Principle for Energy and Time
AUTHORS:
Stanisław Olszewski
KEYWORDS:
Velocity of the Electron Transitions between Quantum Levels, De Broglie Wave Packets, Magnetic Moment of the Electron Spin, Quantum of the Magnetic Flux, The Uncertainty Principle for Energy and Time
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.18,
December
10,
2014
ABSTRACT: 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.