摘要
利用著名通用软件Mathematica生成高阶勒让德多项式,并应用于研究一对不同电势半球面产生的电场,计算和绘制了这个定解问题的电势和电场强度量值的空间分布以及等势线和电场方向的分布图.讨论了使用罗德里格斯公式、系统内置函数和广义超几何函数3种方式产生高阶勒让德多项式差异,以及应用技巧.
The high-order Legendre polynomials are generated by using MATHEMATICA,and are applied to study the electric field from a pair of hemispherical surface with different electric potential.The spatial distribution of electric potential and electric field intensity,as well as the distribution maps of equipotential lines and electric field directions are calculated and plotted.The difference of the three forms of higher order Legendre polynomials generated from Rodriguez formula,built-in function of system and generalized hypergeometric function is discussed,and the application skills are also discussed.
作者
江俊勤
JIANG Junqin(Department of Physics and Information Engineering,Guangdong University of Education,Guangzhou, Guangdong, 510303,P.R.China)
出处
《广东第二师范学院学报》
2019年第3期55-62,共8页
Journal of Guangdong University of Education
基金
广东省质量工程项目“物理学专业综合改革试点”(XM060012物理学)
