Trembling Motion of the Free Spin 1/2 Particle
Minoru Umezawa · Progress of Theoretical Physics · 1984
The trembling motion, named “Zitterbewegung” by Schrödinger, is solved as a function of the ordinary time. For this the relativistic center of energy, introduced into the quantum mechanics for the first time by Pryce, plays a primordially important role. It is found that this center of energy moves with the macroscopic velocity v without oscillation. The position (density center) oscillates around such a center of energy with the frequency 2(α·p + β)/ h.