Quantum Physics


Proton Charge Radius Distortion in Dirac Hydrogen by "Electron Zitterbewegung"

Authors: Steven Kenneth Kauffmann

The commutator of the Dirac free-particle's velocity operator with its Hamiltonian operator is nonzero and independent of Planck's constant, which starkly violates the quantum correspondence-principle requirement that commutators of observables must vanish when Planck's constant vanishes, as well as violating the extended Newton's First Law principle that relativistic free particles do not accelerate. The consequent nonphysical particle "zitterbewegung" is of course absent altogether when the natural relativistic free-particle square-root Hamiltonian operator, which is the transparent consequence of the free particle's Lorentz-covariant energy-momentum, replaces the free-particle Dirac Hamiltonian. The energy spectrum of the pathology-free relativistic square-root free-particle Hamiltonian is, however, matched perfectly by the positive-energy sector of the Dirac free-particle Hamiltonian's energy spectrum. But when a hydrogen type of potential energy is added to the free particle Dirac Hamiltonian, Foldy-Wouthuysen unitary transformation of the result reveals a "Darwin term" in its positive-energy sector which stems from nonphysical "zitterbewegung"-smearing of that potential energy. This physically nonexistent smearing of the potential energy can alternatively be viewed as having been produced by physically nonexistent smearing of its proton charge density source, which using the Dirac theory for data analysis erroneously compensates, resulting in a misleadingly contracted impression of the proton's charge radius.

Comments: 5 Pages.

Download: PDF

Submission history

[v1] 2019-05-26 09:42:24

Unique-IP document downloads: 22 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus