真时相对论量子理论的基础
Foundations for proper-time relativistic quantum theory
摘要：
本文是相对论性量子理论的正则本征时间方法基础的进展报告。我们首先回顾了相对论量子理论的标准平方根方程，然后回顾了狄拉克方程，为两者的物理性质提供了新的见解。然后，我们介绍了典型的固有时间理论。为了完整起见，我们简要介绍了电动力学和力学的正则本征时间方法，然后介绍了相对论量子理论的正则本征时间方法。这个理论导致三个新的相对论波动方程。在每种情况下，真时平移的正则生成元都是严格正定的，因此它代表一个粒子。我们表明，典型的适当时间扩展的狄拉克方程的氢给出的结果是一贯更接近的实验数据，相比狄拉克方程。然而，这些结果不足以解释兰姆位移或异常磁矩。
英文摘要：
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.
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