摘要
运用合流超几何函数的求和公式及适用于正负m值的勒让德多项式计算公式,采用MATLAB的递归函数实现氢原子波函数计算的高效编程。经符号计算检验了该算法的正确性。运用二维曲线图、三维曲面图及四维切片图实现复杂函数的可视化。
This paper achieve an efficient programming of hydrogen atom wave function computing by using the formula of summation confluent hypergeo metric functions, legendre polynomial suitable for positive or negative ＂m＂ value and recursive funtion realization of MATLAB. The symbol calculation verifies the validity of the algorithm. The paper performs visualization of complex function by using two - dimensional curve, the 3 - D surface chart and 4D slice graph.
出处
《盐城工学院学报（自然科学版）》
CAS
2013年第2期35-39,共5页
Journal of Yancheng Institute of Technology:Natural Science Edition
关键词
符号计算
可视化
氢原子
波函数
Symbolic Computation
Visualization
hydrogen atom
Wave function
