Würzburg 2018 – wissenschaftliches Programm

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T: Fachverband Teilchenphysik

T 49: Andere Gebiete der Physik

T 49.8: Vortrag

Mittwoch, 21. März 2018, 18:15–18:30, Philo-HS2

A Conflict Exists in De Broglie's Wavelength of a Particle — •Albrecht Giese — Taxusweg 15, 22605 Hamburg

Louis de Broglie's great accomplishment was to postulate the wave properties of all elementary particles, and this became one of the pillars of quantum mechanics.

However, when de Broglie undertook to determine the parameters of such waves, he made a serious error. He believed there was a conflict regarding the frequency assigned to a particle. The Einstein-Planck relationship E=h*f predicts an increase of frequency f of a particle in motion, whereas SR predicts a decrease due to dilation. However, de Broglie was wrong about the latter. When one particle interacts with another, the frequency of the moving particle is seen to increase due to the Doppler Effect. (And the correct use of the Lorentz transformation leads to the same result.)

Furthermore, concerning the dependency of the wavelength on momentum: lambda=h/p is neither Lorentz- nor even Galilei-invariant. It does not therefore describe physics correctly. Nevertheless, it was used by Schrödinger and by Dirac as an essential part of their wave functions.

We will explain how the problem occurred and why the results seem to be confirmed by experiments. And we will present a concept that is able to yield a correct solution.