| 氢原子波函数的符号计算与可视化 |
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| 引用本文： | 周成兵,邹正冬,史友进.氢原子波函数的符号计算与可视化[J].盐城工学院学报(自然科学版),2013,26(2):35-39. |
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| 作者姓名： | 周成兵 邹正冬 史友进 |
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| 作者单位： | [1]盐城工学院纺织服装学院,江苏盐城224051 [2]盐城工学院基础教学部,江苏盐城224051 |
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| 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。
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| 关 键 词： | 符号计算 可视化 氢原子 波函数 |
Symbolic Computation and Visualization of the Wave Function of a Hydrogen Atom |
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| ZHOU Cheng-bin,ZHOU Zheng-dong,SHI You-jin.Symbolic Computation and Visualization of the Wave Function of a Hydrogen Atom[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2013,26(2):35-39. |
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| Authors: | ZHOU Cheng-bin ZHOU Zheng-dong SHI You-jin |
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| Institution: | 1. School of Textiles and Clothing Engineering, Yancheng Institute of Technology, Yancheng Jiangsu 224051, China; 2. Department of Basic Science, Yancheng Institute of Technology, Yancheng Jiangsu 224051, China ) |
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| Abstract: | 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. |
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| Keywords: | Symbolic Computation Visualization hydrogen atom Wave function |
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