从最低限度的物理学知识推导出的黑体定律
Black-body laws derived from a minimum knowledge of Physics
摘要:
本文从长度L、质量M、时间T、绝对温度$θ$四个基本量的知识出发,在承认高斯定律在所有维中成立的基础上,用物理量纲理论将Stephan-Boltzmann定律和普朗克黑体辐射公式的表达式推广到具有一个时间和n个空间坐标的时空中。在n=3的特殊情况下,我们将恢复已知的结果。
英文摘要:
Starting from the knowledge of the four fundamental quantities length L, mass M, time T, absolute temperature $θ$ and accepting the validity of Gauss's law in all dimensions, we generalize, by the theory of physical dimensions, the expression of the Stephan-Boltzmann law and of the Planck's formula for the black-body radiation to a spacetime with one time and n spatial coordinates. In the particular case n=3 we shall recover the known results.
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