Comparison of Two Models of the Classical Zitterbewegung and Photon Wave Function

J. C. Aron

Nuri Ünal

Nuri

We propose a simple classical model the zitterbewegung. In this model spin is proportional to the velocity o f the particle, lhe component parallel to p is constant and the orthogonal components are oscillating with 2p frequency. The quantization o f the system gives wave equations for spin O, 1/2, 1, 3/2,..., etc. respectively. These equations are convenient for massless particles. The wave equation of the spin-l, 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.

Iwo Białynicki‐Birula

Rafael Cañete Mesa

In this paper, we study the Zitterbewegung, as the most anomalous and controversial effect of the Dirac equation. For this purpose, we do not establish a study framework, but we carry out a dissection of the Dirac solution for the velocity operator from a wave optics perspective, which will provide us (such as it is) with all the information about the Zitterbewegung, about the true sense and legality of the solution, and of the Dirac equation itself. In particular, we will obtain that said solution of the Dirac equation is composed of two wave packets coupled through the phase functions, and that it is the destructive and constructive confrontation of their group velocities that will give rise to the classical speed of the particle and the quantum anomalous term, respectively. This coupling is the kinetic aspect of a more general energetic development and of a corpuscular etiology, from which we derive a geometry that will then be an active part of any related phenomenology. A geometry will allow us to uncover some primary questions about physical principles, kinetic energy, spin and velocities, as well as differentiate between wave packets, photons and particles.

Ashok Muthukrishnan, Marlan O. Scully, M Zubairy