大学物理 ›› 2026, Vol. 45 ›› Issue (4): 39-.doi: 10.16854/j.cnki.1000-0712.250506

• 教学讨论 • 上一篇    下一篇

导出洛伦兹变换式的一种逻辑过程

管从森,范化喜   

  1. 海军潜艇学院,山东 青岛266199
  • 收稿日期:2025-09-11 修回日期:2025-10-13 出版日期:2026-07-06 发布日期:2026-07-11
  • 作者简介:管从森(1992—),男,汉族,山东潍坊人,海军潜艇学院讲师,博士,主要从事大学物理教学和教学法研究工作.

A logical process for deriving the Lorentz transform

GUAN Congsen, FAN Huaxi   

  1. Naval Submarine Academy, Qingdao, Shandong 266199, China
  • Received:2025-09-11 Revised:2025-10-13 Online:2026-07-06 Published:2026-07-11

摘要: 本文从狭义相对论的两条基本原理出发,结合空间对称性,给出了洛伦兹变换式的一种新的详细导出过程.与教材中通常的证明相比,该方法使用了空间对称性来说明某些问题,且未引入“间隔”的概念.文中仔细讨论了坐标系的设置方法及其对变换式的影响,论证了x′和t′的变换式与y和z无关的原因以及y′和z′的变换式与x和t无关的原因,这些问题在普通教材中都未见解释.此证明过程供学习或讲授大学物理以及物理学专业的广大师生参考.


关键词: 洛伦兹变换, 证明, 空间对称性.

Abstract: This article starts from the two basic principles of special relativity and, combined with spatial symmetry, provides a new detailed derivation process for the Lorentz transformation formula. Compared to the usual proofs in textbooks, this method utilizes spatial symmetry to clarify certain issues without introducing the concept of ‘interval.’ The paper carefully discusses the method for setting up coordinate systems and their impact on the transformation equations, demonstrating the reasons why the transformation formulas for x′ and t′ are independent of y and z, and why the transformation formulas for y′ and z′ are independent of x and t. These issues are not explained in standard textbooks. This proof process serves as a reference for students and teachers in learning or teaching university physics and physics majors.


Key words: Lorentz transform, proof, spatial symmetry