Foundations for proper-time relativistic quantum theory

[摘要] This paper is a progress report on the foundations for the canonical proper-time approach to relativistic quantum theory. We first review the the standard square-root equation of relativistic quantum theory, 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 it represents a particle. We show that the canonical proper-time extension of the Dirac equation for Hydrogen gives results that are consistently closer to the experimental data, when compared to the Dirac equation. However, these results are not sufficient to account for either the Lamb shift or the anomalous magnetic moment.

[发布机构] Department of Mathematics, Physics and e and Ce, Howard University, Washington; DC; 20059, United States^1;Department of e and Ce, Howard University, Washington; DC; 20059, United States^2;Department of Electrical Engineering, Penn. State University, University Park; PA; 16802-2703, United States^3

[关键词] Anomalous magnetic moments;Dirac equations;Positive definite;Progress report;Relativistic quantum theory;Relativistic wave equations;Square roots;Time extensions