Universal Journal of Physics and Application Vol. 9(1), pp. 24 - 40
DOI: 10.13189/ujpa.2015.030104
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Foundations for Proper-time Relativistic Quantum Theory


T. L. Gill 1,*, T. Morris 2, S. K. Kurtz 3
1 Department of Mathematics, Physics and E&CE, Howard University, Washington DC 20059, USA
2 Department of E&CE, Howard University, Washington DC 20059, USA
3 Department of Electrical Engineering, Penn. State University, University Park PA 16802-2703, USA

ABSTRACT

This paper is an extended version of the talk given at the The 9th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields held at the University of Connecticut in June 2014. It is a progress report on the foundations for the canonical proper-time approach to relativistic quantum theory. We first review the square-root equation followed by a review of the Dirac equation, providing new insights into the physical properties of both. We then introduce the canonical proper-time theory. For completeness, we give a brief outline of the canonical proper-time approach to electrodynamics and mechanics, and then introduce the canonical proper-time approach to relativistic quantum theory. This theory leads to three new relativistic wave equations. In each case, the canonical generator of proper-time translations is strictly positive definite, so that each represents a true particle equation. We show that the canonical proper-time version of the Dirac equation for Hydrogen gives results that are consistently closer to the experimental data. However, these results are not sufficient to account for either the Lamb shift or the anomalous magnetic moment. We are currently taking a closer look at the extent that the point particle assumption is valid in s-states of Hydrogen.

KEYWORDS
Electrodynamics Proper-time Dirac Equation QED

Cite this paper
T. L. Gill , T. Morris , S. K. Kurtz . "Foundations for Proper-time Relativistic Quantum Theory." Universal Journal of Physics and Application 9.1 (2015) 24 - 40. doi: 10.13189/ujpa.2015.030104.