介质中光子能量的Einstein-Plank-Richardson定律的推广解决了电磁场论陈述中的Abraham-Minkowski难题
Generalization of the Einstein-Plank-Richardson law for the photon energy in medium resolves Abraham-Minkowski dilemma in the electromagnetic field theory statement
摘要：
基于折射率为n的各向同性介质中类时光子的Hamilton理论（S.Antoci，et.al，2007），我们提出了介质中光能量子值的Einstein-Plank-Richardson定律的推广：E=h*nu*n，其中h是普朗克常数，nu是光的频率。利用这个新的量子定律，我们解决了德布罗意和爱因斯坦理论之间的著名矛盾，与旧的亚伯拉罕-闵可夫斯基困境中定义的光子动量值p（在介质中，n>1）。我们证明了德布罗意和爱因斯坦的理论都有相同的p=p_a=E/（c*n）（c是真空中的光速），这符合亚伯拉罕的理论，但不符合闵可夫斯基的理论（其中p=p_m=E*n/c）。基于p=p_a和E=h*nu*n^2的微粒方法，我们给出了Snellius折射定律的新推论，解决了更老的相应微粒波Newton-Huygens难题.我们证明了即使n-1<<1，Abraham和Minkowski理论（具有不同的p=p_a和p=p_m）也可能导致非常不同的结论。因此，与p =p_m的理论相反，只有p=p_a的理论才能给出在当前时期n-1=10^（-42）的背景宇宙辐射的光子气体中瓦维洛夫-切伦科夫辐射实现的结论。
英文摘要：
On the base of the Hamilton theory for the time-like photon in isotropic dielectric with refraction index n (S.Antoci, et.al, 2007), we suggest generalization of the Einstein-Plank-Richardson law for the value of the light energy quantum in medium:E=h*nu*n, where h is the Plank's constant, and nu is the light frequency. By use of this new quantum law, we resolve the famous contradiction between de Broglie and Einstein's theories, related with the old Abraham-Minkowski dilemma in the definition of the photon momentum value p (in the medium for n>1). We show that the same value p=p_a=E/(c*n)(c is the speed of light in vacuum) follows now from the both theories of de Broglie and Einstein, which complies with the theory of Abraham, but not with the theory of Minkowski (where p=p_m=E*n/c). Based on the corpuscular approach with p=p_a and E=h*nu*n^2, we give new inference for the Snellius refraction law and resolve more old corresponding corpuscular-wave Newton-Huygens dilemma. We show that even for n-1<<1 the Abraham and Minkowski theories (with different p=p_a and p=p_m)may lead to very different conclusions. Thus, only the theory with p=p_a, contrary to the theory with p=p_m, allows the conclusion about the Vavilov-Cherenkov radiation realization in the photon gas of the background cosmic radiation, for which n-1=10^(-42) in the current epoch.
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