大学物理 ›› 2017, Vol. 36 ›› Issue (12): 1-5.doi: 10.16854/j.cnki.1000-0712.2017.12.001

• 教学研究 •    下一篇

量纲分析简介

梁灿彬,曹周键,陈陟陶   

  1. 1.北京师范大学物理系,北京100875; 2.中科院应用数学所,北京100190; 3.埃尔朗根-纽伦堡大学,德国
  • 收稿日期:2017-05-10 出版日期:2017-12-20 发布日期:2017-12-20
  • 作者简介:梁灿彬(1938—),男,广东中山人,北京师范大学物理学教授,主要从事电磁学、微分几何、广义相对论的

Introduction to dimensional analysis

LIANG Can-bin,CAO zhou-jian,CHEN zhi-tao   

  • Received:2017-05-10 Online:2017-12-20 Published:2017-12-20

摘要: 第一部分介绍我们对量纲理论的创新性看法,引入了“量类”、“单位制族”等若干非常重要的新概念,并以此为基础

对“量纲”一词给出了明确的定义.第二部分在上述创新性理论的基础上给出了Π 定理的严格证明,并举出两例展示了这一定
理的巨大威力.

关键词: 量, 数, 单位制, 量纲

Abstract: A novel and systematic dimensional analysis is presented. A few new concepts such as “quantity class”and “class of unit systems”are coined, and a clear cut definition of “dimension”is provided. A self-contented proof of the theorem is presented based on these new concepts, and two examples illustrating the great power of the theorem are also given.

Key words: quantity, number, system of units , dimension.