大学物理 ›› 2026, Vol. 45 ›› Issue (08): 1-.doi: 10.16854/j.cnki.1000-0712.260617

• 专家视点 •    下一篇

玻尔兹曼:量子化第一人

曹则贤   

  1. 中国科学院物理研究所,北京 100190
  • 收稿日期:2026-08-15 接受日期:2026-08-20 出版日期:2026-10-10 发布日期:2026-10-17
  • 通讯作者: 曹则贤,E-mail: zxcao@iphy.ac.cn
  • 作者简介:曹则贤(1966 -),男,中国科学院物理所研究员,主要从事表面物理、量子力学等方面的研究

Ludwig Boltzmann: The First Man Who Quantized Energy

CAO Zexian   

  1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2026-08-15 Accepted:2026-08-20 Online:2026-10-10 Published:2026-10-17

摘要: 玻尔兹曼是物理学史上的巅峰人物,是统计力学的奠基人.一般文献中,玻尔兹曼的名字会联系着麦克斯韦-玻尔兹曼分布、玻尔兹曼熵公式以及玻尔兹曼 H-函数, 而能量量子化的概念是普朗克1900年第一个引入的.其实,早在1900年以前,玻尔兹曼和维恩的论文里随处可见Quantum一词.玻尔兹曼是笔者已知的第一个引入能量量子化假设的人.1868年,玻尔兹曼将分子动能加以量子化以求解碰撞问题,得到了统计力学的玻尔兹曼原理.1872年,玻尔兹曼借助动能量子化得到了气体的麦克斯韦分布,1877年注意到量子化的动能要从0 算起.玻尔兹曼的思想与研究方法深刻地影响了接下来的物理学发展,普朗克、索末菲、爱因斯坦和玻恩等几位物理巨擘关于量子论方面的工作都可见玻尔兹曼思想的印记.


关键词: 玻尔兹曼, 统计力学, 碰撞, 麦克斯韦分布律, 量子, 能量量子

Abstract: Ludwig Boltzmann is a towering figure in the history of physics,widely known as the founder of statistical mechanics. The name Boltzmann is commonly associated with the Maxwell-Boltzmann distribution, the Boltzmann entropy formula, and the Boltzmann H-function, while Planck was said to be the one who first introduced the concept of energy quantum in 1900. In fact, the word “quantum” appears frequently in the papers of Boltzmann and Wien well before 1900. To the best of the authors knowledge, Boltzmann was the first to introduce the concept of energy quantization. In 1868, he quantized kinetic energy (vis viva) to address the problem of molecular collisions, thereby deriving the Boltzmann principle of statistical mechanics. In 1872, Boltzmann derived the Maxwell distribution by employing the concept of energy quantization, and in 1877, he noted that the quantized energy must be counted from zero. Boltzmanns ideas and research methods profoundly influenced the subsequent development of physics; the brilliance of his thought is evidenced in the work of physicists such as Planck, Sommerfeld, Einstein, and Born over quantum theory..

Key words: Ludwig Boltzmann, Statistical mechanics, Collision, Maxwell’s law, Quantum, Energy quantum