| 几何化在相对论解题中的应用 |
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| 引用本文： | 冯晓明,程敏熙.几何化在相对论解题中的应用[J].大学物理,2021,40(3):25-28,37. |
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| 作者姓名： | 冯晓明 程敏熙 |
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| 作者单位： | 华南师范大学物理与电信工程学院物理国家级实验教学示范中心,广东广州 510006;华南师范大学物理与电信工程学院物理国家级实验教学示范中心,广东广州 510006 |
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| 基金项目： | 华南师范大学2019年质量工程项目资助。 |
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| 摘 要： | 在解决相对论中关于参考系变换的问题时往往需要复杂冗长的计算,常用二惯性系映射法将计算问题转化为几何问题,该法快速而直观,但初学者较难掌握.为体现洛伦兹变换的动态过程以及传递物理学在变化中追求不变性的价值观,本文提出新的几何化方法即双曲旋转法.该法在二惯性系映射法的基础上以时空间隔不变性为依据进行双曲旋转,并辅以因果关系的制约确定最终的几何化结果.以一道题目为例详细说明了两种几何化方法的应用.
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| 关 键 词： | 几何化 二惯性系映射 双曲旋转 因果关系 |
Application of geometry in solving problems of relativity theory |
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| FENG Xiao-ming,CHENG Min-xi.Application of geometry in solving problems of relativity theory[J].College Physics,2021,40(3):25-28,37. |
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| Authors: | FENG Xiao-ming CHENG Min-xi |
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| Institution: | (National Demonstration Center for Experimental Physics Education,School of Physics and Telecommunication Engineering,South China Normal University,Guangzhou,Guangdong 510006,China) |
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| Abstract: | In solving the problems about reference frame transformation in the theory of relativity, it is often required to have a long and complicated calculation. Two-inertial-system mapping is often used to transform the computational problem into a geometric problem. This method is quick and intuitive but hard for beginners to grasp. To express the dynamic process of Lorentz transformation and transfer physical pursuit invariance values, a new geometric method named hyperbolic rotation was put forward. Based on the two inertial system mapping, the hyperbolic rotation was carried out based on time-interval invariance and the final geometric results were determined by the restriction of causality. There was an example to explain the application of two geometric methods in detail. |
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| Keywords: | geometric two inertial system mapping hyperbolic rotation causal relationship |
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