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The Zitterbewegung or “Trembling-Along-The-Way” Electron


By Dr. Inés Urdaneta, Physicist at Resonance Science Foundation

The German word zitterbewegung -zitter- means “trembling along the way” and it was coined for the first time by Erwin Schrödinger in 1930 when studying the solutions of Dirac equations for free relativistic electrons. When analyzing the behavior of the wave packets, Schrödinger found an oscillatory term with an amplitude of the magnitude of the Compton wavelength and frequency of 2mec2/ħ., where me is the mass of the electron, c is the speed of light and ħ is the reduced Planck constant. This zitter character of the electron found by Schrodinger suggested that the electron performed an extremely-high-frequency circular motion.

As it stands, Dirac’s fully relativistic equation in the form originally proposed by Dirac [1] for a free electron, describes all spin-1/2 massive particles, and it is consistent with the principles of quantum mechanics and the theory of special relativity. The...

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