What follows compares the Compton-(de Broglie
) relations derived in the PV theory with the Synge ray-wave diagram in spacetime, and concludes that his de Broglie
waves propagate within the vacuum state rather than free space.
In 1923 Louis de Broglie
in his three research papers carried a significant development of the idea of Einstein about the dual nature of light.
The Elastodynamics of the Spacetime Continuum (STCED)  has similarities to Bohmian mechanics in that the solutions of the STCED wave equations are similar to Louis de Broglie
's "double solution" [17,18].
Thus de Broglie
's theory was amply confirmed, and for doing so Davisson and Thomson were awarded shares in the Nobel Prize for physics in 1937.
Moreover, the use of sodium allows additional precision, since sodium atoms are heavier than helium atoms and therefore have a shorter de Broglie
The particle/PV forces and potentials, and their corresponding Compton and de Broglie
radii, are associated with this vacuum substructure.
Einstein and Louis de Broglie
put forward alternatives that they believed were more realistic or more complete.
are the de Broglie
radii for the space and time directions respectively; and where [beta] = v/c < 1 and [gamma] = 1/ [square root of (1 - [[beta].sup.2])] .
Louis, Duc de Broglie
, one of lastsurvivors of the group of brilliant physicists who developed modern physics and quantum mechanics, died in Paris, March 19, at the age of 94.
the one proposed by de Broglie
and Bohm , in which the transition probabilities [P.sub.M]([xi]|[lambda], [PSI]) and the trajectories depend explicitly and contextually on the quantum states Y (the de Broglie-Bohm theory being deterministic these probabilities can only reach values 0 or 1 for discrete observables [xi]).
In the second place there was the Einstein-de Broglie
school with their continued intimations of neoclassical reality.
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.
A school of physicists usually named for Albert Einstein and Louis de Broglie
has contended that the mysteries dualities and superpositions of quantum mechanics are appearances derived from too little knowledge.
and operate with the result on the wave function [psi](x, t) that represents the de Broglie