The next appropriate to was charmed nearby de Broglie

3. De Broglie and Planck-Einstein Relations Together from Special Relativity

12 Most Famous PhD Theses In History - Mr. Geek

Nonetheless, he reluctantly accepted that his pilot wave theory was flawed and throughout his teaching career instructed his students in probabilistic theory, though he never quite abandoned his belief that "God does not play dice," as Einstein had suggested.In 1928, de Broglie was appointed professor of theoretical physics at the University of Paris's Faculty of Science.

Einstein immediately pronounced that de Broglie had illuminated one of the secrets of the universe.

12 Most Famous PhD Theses In History

Special Relativity sets tight constraints on the form of the possible relations between the four-momentum of a particle and the wave four-vector. In fact, we demonstrate that there is just one way, according to Special Relativity, to relate the energy and the momentum of a corpuscle with the characteristics of a plane wave, frequency and wave vector, if the momentum has to flow in the same direction of the wave propagation: the laws must be of direct proportionality like de Broglie and Planck-Einstein equations.

and from equations (40) we get again the Planck-Einstein and the de Broglie relations (34).

Therefore it would seem, from the developed reasoning in Section 2 and from the Ashby and Miller result, that, at least for the photons, both Planck-Einstein and de Broglie equations may follow from Special Relativity. Moreover it is also natural to wonder if a general constraint exists, which is valid for particles with any mass, for which the condition of relativistic invariance imposes the form of both Planck-Einstein and de Broglie relations.

consider a mechanical comparison

De Broglie initially imagines that the source of the frequency is related with some periodic phenomenon inside the particle . He considers a particle with velocity v along the x axis in an inertial frame S. Assuming that the combination of the Planck-Einstein equation (1) for the photons and the relativistic energy of the particle,

De Broglie Hypothesis - ThoughtCo

Part of the reason that de Broglie, Einstein, and others did not concur with the probabilistic view was that they could not philosophically accept that matter, and thus the world, behaves in a random way.

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In his thesis de Broglie suggests that the quanta of light had to be completely comparable to other known material particles. For instance, they had to have a rest mass different from zero, although very small1. Moreover, if the photons had to be put on the same conceptual framework of other particles, according to the French physicist, it was also possible to imagine that particles different from the photons could share the strange dual property of wave and corpuscle with the light. So the fundamental hypothesis of his dissertation was to consider true for all the particles, not only for the quanta of light, the Planck-Einstein law:

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Therefore, we have deduced de Broglie and PlanckEinstein relations for plane waves from more general assumptions than those usually considered. De Broglie uses the following hypotheses:

Quantum Physics: Louis de Broglie: Confirming de Broglie…

It all began in October 1927, at the Fifth Solvay Congress in Brussels. It was Louis de Broglie’s first congress, and he had been “full of pleasure and curiosity” at the prospect of meeting Einstein, his teenage idol. Now 35, de Broglie happily reported: “I was particularly struck by his mild and thoughtful expression, by his general kindness, by his simplicity, and by his friendliness.”

Quantum Theory: Louis de Broglie - Space and Motion

Back in 1905, Einstein had helped pioneer quantum theory with his revolutionary discovery that light has the characteristics of both a wave and a particle. Niels Bohr later explained this as “complementarity”: depending on how you observe light, you will see either wave or particle behaviour. As for de Broglie, he had taken Einstein’s idea into even stranger territory in his 1924 PhD thesis: if light waves could behave like particles, then perhaps particles of matter could also behave like waves! After all, Einstein had shown that energy and matter were interchangeable, via = 2.