高维球及其在物理学中的应用  

High-dimensional Sphere and Its Application on Physics

作　　者：赵秋月 吴文良[1] ZHAO Qiu-yue;WU Wen-liang(School of Physics and Information Engineering,Zhaotong University,Zhaotong 657000,China)

机构地区：[1]昭通学院物理与电子信息工程学院,云南昭通657000

出　　处：《昭通学院学报》2018年第5期20-24,共5页Journal of Zhaotong University

摘　　要：高维球作为二维平面上的圆和三维现实空间的球在更高维空间延拓的数学概念,广泛应用于不同的科学领域,高维球使一些问题的解决得到大幅度的简化。较低维的球是高维球在低维空间中的投影,高维球的表面积是高维球体积对半径的导数。根据低维球体积和表面积的计算公式,可以得到高维球相应量的递推公式。非数学专业的学习者特别是物理学专业的学习者,掌握高维球的概念,对于拓宽视野、巩固和加深专业知识有着不可低估的作用。As a mathematics concept, the high-dimensional sphere is widely used in different fields of science, which simplifies greatly some problems. The corresponding value of high-dimension is deduced in this paper, with a simple method of the volume and surface area formula of low-dimensional sphere. It will widen the learners＇ vision and deepen their understanding of professional knowledge that the non-professional mathematics learners, especially the learners of physics learn the concept of high-dimensional sphere.

关 键 词：高维球 物理学 应用 

分 类 号：O41[理学—理论物理]