黑体辐射的研究：经典光子和二元光子
A study on black-body radiation: classical and binary photons
摘要：
本文基于经典随机变量对黑体辐射进行了详细的分析。结果表明，混沌辐射场模式的能量（高斯变量）可以唯一地分解为一个离散变量（具有Planck-Bose分布的Planck变量）和一个连续暗变量（具有有限支集的截尾指数分布）之和.普朗克变量一方面被分解为代表能量为2^s*h*nu的二进制光子的二进制变量之和，其中s=0，1，2等。这样，黑体辐射可以被看作是热力学独立的费米子气体的混合物。普朗克变量也可以被分解成一个独立的泊松分量的总和代表经典的光分子的能量m*h*nu与m=1，2，3等这些经典的光子只有类粒子的波动，另一方面，二进制光子有波粒波动的费米子字符。
英文摘要：
The present study gives a detailed analysis of the black-body radiation based on classical random variables. It is shown that the energy of a mode of a chaotic radiation field (Gauss variable) can be uniquely decomposed into a sum of a discrete variable (Planck variable having the Planck-Bose distribution) and a continuous dark variable (with a truncated exponential distribution of finite support). The Planck variable is decomposed, on one hand, into a sum of binary variables representing the binary photons of energies 2^s*h*nu with s=0,1,2,etc. In this way the black-body radiation can be viewed as a mixture of thermodinamically independent fermion gases. The Planck variable can also be decomposed into a sum of independent Poisson components representing the classical photo-molecules of energies m*h*nu with m=1,2,3,etc. These classical photons have only particle-like fluctuations, on the other hand, the binary photons have wave-particle fluctuations of fermionic character.
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