列维-奇维塔符号的新解析表达式及其作为广义函数的处理
综合数学
2021-10-14 v5
摘要
利用克罗内克 delta 符号，找到了列维-奇维塔符号的新解析表达式。这些表达式推导至 3 维，推广到更高维，并在 Matlab 中对 5 维进行了验证。这些表达式可改写为初等和/或特殊函数形式，由此得出结论：列维-奇维塔符号可被视为一种广义的离散函数。
关键词
引用
@article{arxiv.2109.01700,
title = {New Analytical Expressions for the Levi-Civita Symbol and Its Treatment as a Generalized Function},
author = {W. Astar},
journal= {arXiv preprint arXiv:2109.01700},
year = {2021}
}
备注
This is the 5th version of the manuscript, and wholly supersedes the previous versions. In the previous versions, the generalized function G was sometimes confused with the epsilon itself. In this (fifth) version, it is clarified that G is merely a function used in alternative expressions of the epsilon