Foundations for proper-time relativistic quantum theory
نویسندگان
چکیده
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.
منابع مشابه
Multi - time equations , classical and quantum Sören Petrat
Motivated by relativity, several authors have suggested introducing, in classical and quantum physics, a separate time coordinate for every particle in order to avoid the use of simultaneity surfaces, e.g. [1–8]. For example, multi-time wave functions have been used in the foundations of quantum mechanics for defining relativistic collapse [9] or de Broglie–Bohm [10] theories. In quantum physic...
متن کاملde Multi - time equations , classical and quantum
Motivated by relativity, several authors have suggested introducing, in classical and quantum physics, a separate time coordinate for every particle in order to avoid the use of simultaneity surfaces, e.g. [1–8]. For example, multi-time wave functions have been used in the foundations of quantum mechanics for defining relativistic collapse [9] or de Broglie–Bohm [10] theories. In quantum physic...
متن کاملde Multi - time equations , classical and quantum Sören Petrat
Motivated by relativity, several authors have suggested introducing, in classical and quantum physics, a separate time coordinate for every particle in order to avoid the use of simultaneity surfaces, e.g. [1–8]. For example, multi-time wave functions have been used in the foundations of quantum mechanics for defining relativistic collapse [9] or de Broglie–Bohm [10] theories. In quantum physic...
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