摘要
双曲函数不仅是一种数学表达形式,同时在粒子物理中也有非常广泛的应用.快度是双曲空间中一个虚构的角度,通过数学代换方法,可将狭义相对论中的速度变换公式表述成一个简单的双曲旋转,这一旋转角度就是快度.快度与速度变换中的β因子有关.本文详细推导了这一代换过程,给出快度与β因子的具体关系以及快度在能量和动量的表现形式.快度有非常丰富的物理意义,它不仅能把狭义相对论在双曲空间中表现为一种更加简单直观的形式,而且其本身蕴含粒子能量和动量的信息,在高能物理中也被科学家广泛应用.
Hyperbolic function is not only a kind of mathematical expression but also widely used in Partical Physics.Rapidity is an imaginary angle in hyperbolic space,the Lorenz transformation in the special relativity can be seen as a brief hyperbolic rotation,and the rotation angle is rapidity,which is related toβin the Lorenz transformation.In this paper,we derived this substitution process,presented the relationship between rapidity andβ.The physical meaning of rapidity is very rich,it can not only express the special relativity into a simpler and more intuitive form in hyperbolic space,but also have wider and wider application in high energy physics due to the information of energy and momentum it contains.
出处
《物理与工程》
2016年第4期55-57,共3页
Physics and Engineering
关键词
快度
双曲函数
洛伦兹变换
粒子物理
rapidity
hyperbolic function
Lorenz transformation
partical physics
