无发散问题的电磁场论2.最小侵入量子化理论
Electromagnetic Field Theory without Divergence Problems 2. A Least Invasively Quantized Theory
摘要：
通过将Hamilton-Jacobi相函数与振幅函数耦合，将经典Maxwell-Born-Infeld场方程与点电荷运动的Hamilton-Jacobi定律耦合，它与相函数结合成一个单一的复波函数，满足相对论Klein-Gordon方程，自洽地耦合到一般点源电磁场的演化方程（明确地为一个粒子计算;简要讨论了许多粒子的选项）。存在无辐射的定态。本文详细讨论了具有无限质量核的氢原子能谱，并给出了玻恩“以太常数”的上估计。在非相对论极限下，模型简化为量子力学的de-Broglie-Bohm公式。
英文摘要：
The classical Maxwell--Born--Infeld field equations coupled with a Hamilton--Jacobi law of point charge motion are partially quantized by coupling the Hamilton-Jacobi phase function with an amplitude function, which combines with the phase function into a single complex wave function satisfying a relativistic Klein--Gordon equation self-consistently coupled to the evolution equations for the electromagnetic fields with generic point source (explicitly worked out for one particle; options for many particles briefly discussed). Radiation-free stationary states exist. The hydrogen spectrum with infinitely massive nucleus is discussed in some detail and upper estimates for Born's `aether constant' obtained. In the nonrelativistic limit the model reduces to the de-Broglie--Bohm formulation of quantum mechanics.
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