Abstract
Beams of entities, such as electrons, mayproduce diffraction patterns. These patterns may beinterpreted in terms of particles and waves. One obviousquestion concerning these phenomena is, “What is the functional relation between the momentumof the entity and its wavelength?” While thisrelation is well known, it is of interest to look foranother way to arrive at this function using special relativity theory and the fundamentalobservation that the mathematical form of a law ofnature cannot contain any parameters relating to morethan one reference frame. It is shown, without makingany quantum assumptions, that the relation P = b/λ,where b is a constant, is valid. This result comesdirectly from the application of classical nonquantumphysics.
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Jorgensen, T.P. Relativity and the Quantum. International Journal of Theoretical Physics 37, 2763–2766 (1998). https://doi.org/10.1023/A:1026689008592
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DOI: https://doi.org/10.1023/A:1026689008592