Zitterbewegung in External Magnetic Field: Classic versus Quantum Approach
Abstract
We investigate variations of the Zitterbewegung frequency of electron due to an external static and uniform magnetic field employing the expectation value quantum approach, and compare our results with the classical model of spinning particles. We demonstrate that these two so far compatible approaches are not in agreement in the presence of an external uniform static magnetic field, in which the classical approach breaks the usual symmetry of free particles and antiparticles states, i.e. it leads to CP violation. Hence, regarding the Zitterbewegung frequency of electron, the classical approach in the presence of an external magnetic field is unlikely to correctly describe the spin of electron, while the quantum approach does, as expected. We also show that the results obtained via the expectation value are in close agreement with the quantum approach of the Heisenberg picture derived in the literature. However, the method we use is capable of being compared with the classical approach regarding the spin aspects. The classical interpretation of spin produced by the altered Zitterbewegung frequency, in the presence of an external magnetic field, are discussed.
 Publication:

Foundations of Physics
 Pub Date:
 August 2011
 DOI:
 10.1007/s1070101195534
 arXiv:
 arXiv:1103.2930
 Bibcode:
 2011FoPh...41.1355Z
 Keywords:

 Zitterbewegung;
 Relativistic quantum mechanics;
 Spinning particles;
 Quantum Physics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Physics  Classical Physics
 EPrint:
 16 pages, no figures