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普朗克函数中的一个超越方程

发表时间:2011-02-15  浏览量:1754  下载量:597
全部作者: 陈广生,蔡如华
作者单位: 广西现代职业技术学院计算机工程系;桂林电子科技大学数学与计算科学学院
摘 要: 从普朗克公式出发做一个代换,通过推导得到了一个新的超越方程,而超越方程是一种不能直接求其解析解的方程,利用牛顿迭代法求出了其数值解,并且得到了维恩位移定律的频率表达形式,给出了辐射能量密度最大处频率和温度的关系,即温度越高,频率越大,波长向短波方向移动。
关 键 词: 理论物理;普朗克函数;超越方程;牛顿迭代法
Title: A transcendental equation on Planck function
Author: CHEN Guangsheng, CAI Ruhua
Organization: Department of Computer Engineering, Guangxi Modern Vocational Technology College; School of Mathematics and Compute Science, Guilin University of Electronic Technology
Abstract: Abstract:According to Planck formula, a transcendental equation on Planck function was deduced, but the transcendental equation is a kind of equation whose analytical solution cannot be solved directly. A root of the equation was solved by Newton-Raphson method. And then Wien's displacement law with frequency was found out, relationship between frequency and temperature at the position of maximum radiant energy density was given, it reflects that the higher the temperature, the greater the frequency, and the wavelength moves toward shortwave direction.
Key words: theoretical physics; Planck function; transcendental equation; Newton-Raphson method
发表期数: 2011年2月第3期
引用格式: 陈广生,蔡如华. 普朗克函数中的一个超越方程[J]. 中国科技论文在线精品论文,2011,4(3):196-199.
 
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