Abstract
We propose a simple classical model of the zitterbewegung. In this model spin is proportional to the velocity of the particle, the component parallel top is constant and the orthogonal components are oscillating with2p frequency. The quantization of the system gives wave equations for spin,0, 1/2, 1, 3/2,…, etc. respectively. These equations are convenient for massless particles. The wave equation of the spin-1, massless free particle is equivalent to the Maxwell equations and the state functions have a probability interpretation and exhibit conserved current densities. The ground state has zero energy.
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Ünal, N. A simple model of the classicalZitterbewegung: Photon wave function. Found Phys 27, 731–746 (1997). https://doi.org/10.1007/BF02550173
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DOI: https://doi.org/10.1007/BF02550173