基于麦克斯韦理论的普朗克常数的物理解释
Physical interpretation of the Planck's constant based on the Maxwell theory
摘要：
普朗克关系的发现通常被认为是量子物理学的起点。普朗克常数h现在被认为是最重要的普适常数之一。然而，H的物理性质还没有得到很好的理解。它最初被建议作为一个拟合常数来解释黑体辐射。虽然普朗克提出了一个理论上的理由h，他从来没有满意。为了解决这一突出问题，我们利用麦克斯韦理论直接计算了辐射波包的能量和动量。我们发现波包的能量确实与它的振荡频率成正比。这使我们能够推导出普朗克常数的值。此外，我们证明了光子的发射和传输遵循全有或全无的原则。波包的“强度”可以由ζ表征，ζ表示矢量势沿横轴的积分强度。我们推断zeta应该对所有光子有一个固定的截止值。我们的结果表明，一个波包可以表现得像一个粒子。这为最近的卫星观测提供了一个简单的解释，即宇宙微波背景与普朗克定律所预言的黑体辐射密切相关。
英文摘要：
The discovery of the Planck's relation is generally regarded as the starting point of quantum physics. The Planck's constant h is now regarded as one of the most important universal constants. The physical nature of h, however, has not been well understood. It was originally suggested as a fitting constant to explain the black-body radiation. Although Planck had proposed a theoretical justification of h, he was never satisfied with that. To solve this outstanding problem, we used the Maxwell theory to directly calculate the energy and momentum of a radiation wave packet. We found the energy of the wave packet is indeed proportional to its oscillation frequency. This allows us to derive the value of the Planck's constant. Furthermore, we showed that the emission and transmission of a photon follows the principle of all-or-none. The "strength" of the wave packet can be characterized by zeta, which represents the integrated strength of the vector potential along a transverse axis. We reasoned that zeta should have a fixed cut-off value for all photons. Our results suggest that a wave packet can behave like a particle. This offers a simple explanation to the recent satellite observations that the cosmic microwave background follows closely the black-body radiation as predicted by the Planck's law.
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