Derivation of Lorentz Transformation via Lorentz Invariant

被引：0
|
作者：
Qin, Xiao-Ping [1 ,2 ]
Li, Peng [1 ,2 ]
Su, Gang [1 ,2 ]
Cong, Ling-Mei [1 ,2 ]
机构：
[1] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316022, Peoples R China
[2] Key Lab Oceanog Big Data Min & Applicat Zhejiang, Zhoushan 316022, Peoples R China
来源：
PROCEEDINGS OF THE 2017 2ND INTERNATIONAL CONFERENCE ON AUTOMATIC CONTROL AND INFORMATION ENGINEERING (ICACIE 2017) | 2017年 / 119卷
关键词：
Special Relativity; Lorentz Transformation; Lorentz Invariant; Scalar; 4-Vector;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We derive the Lorentz transformation matrix via the invariance of spacetime interval. The derivation is greatly simplified by using hyperbolic functions. The Lorentz scalar and the 4-vector are explained via the concept of relativistic covariance and the results are applied to relativistic mechanics. This paper helps to better understand the mathematical structure of special relativity, and may be useful for engineers working with relativistic applications such as satellite navigation and precision chronometry.
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页码：41 / 44
页数：4
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