A century of De Broglie wavelength and the double slit with particles
DOI:
https://doi.org/10.15536/reducarmais.8.2024.3943Keywords:
Electron diffraction, mechanical optics, wave particle duality, Young’s patternAbstract
It has been a century since De Broglie's wavelength was proposed and the search for its physical interpretation is still a mystery. We apply to the problem of the Davisson and Germer (DG) experiment the strategy found in the work “A possibly mechanical optics” to solve the “double slit” with particles, in this case the De Broglie wavelength reveals itself as the distance between consecutive electrons in a beam of electrons organized in a regular way. We present arguments for the ordering of the electron beam used in the DG experiment and the consequent relationship between the distance between the electrons and the voltage that accelerates the beam. Furthermore, we also present arguments for a physical interpretation of the frequency of a photon as being the inverse of the electronic transition time that generated the photon, with the intention of resolving in another way the paradox that De Broglie found and which motivated his work.
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