期刊论文

A Simple Proof Method that δ Function can be Expressed as the Limit of Nonsingular Function

中文

中小企业管理与科技(上旬刊)

1673-1069

2018

32

116-117

10.3969/j.issn.1673-1069.2018.32.058

(湘教通(2016)400号-569):湖南省教育厅普通高校教改项目 :衡阳师范学院优质课程项目(YZKC201741

本校为第一机构

δ函数作为奇异函数的一种,它在解决基本物理问题时显示了其特有的优越性。因此在力学、电动力学、量子力学中都有广泛的应用。论文从狄拉克函数δ（x）函数的定义出发,给出了一种将δ函数可表示成非奇异函数的极限的简捷证法。这种方法对于初学者来说,可以增强对δ函数及相关物理问题的理解和认识,对教学来说是一些有益的教学参考和借鉴。

As a kind of singular function, δ function show-s its unique superiority in solving basic physical problems. Therefore, it is widely used in mechanics, electrodynamics and quantum mechanics. Based on the definition of δ（x） function of Dirac function, this paper gives a simple proof method that δ function can be expressed as the limit ofnonsingular function. For beginners, this method can enhance their understanding of δ function and related ph...