BE分布中化学势和Mittag-Leffler函数分布中分数参数的影响
The effects of the chemical potential in a BE distribution and the fractional parameter in a distribution with Mittag-Leffler function
摘要：
分数普朗克分布是通过将具有$p$阶的Caputo分数导数（$p > 0$）应用于普朗克在1900年提出的方程来计算的。此外，利用Mittag-Leffler函数的积分表示，得到了一个新的分数BE分布公式，并将其用于分析NASA COBE探测器数据。在此基础上，发现了一个恒等式$p\simeq e^{-μ}$，其中$μ$是由NASA COBE协作引入BE分布的无量纲常数化学势。
英文摘要：
The fractional Planck distribution is calculated by applying the Caputo fractional derivative with order $p$ ($p > 0$) to the equation proposed by Planck in 1900. In addition, the integral representation of the Mittag--Leffler function is employed to obtain a new formula for the fractional BE distribution, which is then used to analyze the NASA COBE monopole data. Based on this analysis, an identity $p\simeq e^{-μ}$ is found, where $μ$ is the dimensionless constant chemical potential that was introduced to the BE distribution by the NASA COBE collaboration.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
