| 相对论中的若干“勾股定理” |
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| 引用本文： | 周国全.相对论中的若干“勾股定理”[J].大学物理,2020(5):10-13. |
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| 作者姓名： | 周国全 |
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| 作者单位： | 武汉大学物理科学与技术学院 |
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| 基金项目： | 中央高校教育教学改革专向项目-武汉大学“351人才计划”教学岗位资助项目。 |
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| 摘 要： | 本文总结了作者讲授电动力学与狭义相对论的若干心得与体会;运用四维闵可夫斯基空间张量的性质及其缩并运算法则,介绍了用各阶四维张量构造相对论不变量即四维标量的方法,进而在所得四维标量为负定的类时标量时,推导出若干典型的勾股关系,并应用或验证于若干简单情形.
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| 关 键 词： | 狭义相对论 张量 相对论不变量 勾股定理 四维闵可夫斯基空间 洛伦兹变换 |
Several “Pythagorean theorems” in special relativity |
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| ZHOU Guo-quan.Several “Pythagorean theorems” in special relativity[J].College Physics,2020(5):10-13. |
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| Authors: | ZHOU Guo-quan |
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| Institution: | (School of Physics and Technology,Wuhan University,Wuhan,Hubei 430072,China) |
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| Abstract: | Some teaching experiences about electrodynamics and special relativity are summarized. Several relativistic invariants and "Pythagorean theorems" in special relativity are derived by means of the tensor theory in four-dimensional Minkowski space and the contraction operation rules of these tensors. Meanwhile, some application examples are given in illustration of these formulae. |
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| Keywords: | special relativity tensor relativistic invariant Pythagorean theorem four-dimensional Minkowski space Lorentz transformation |
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