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| 氢原子波函数的符号计算与可视化 |
| Symbolic Computation and Visualization of the Wave Function of a Hydrogen Atom |
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| DOI：10.3969/j.issn.1671-5322.2013.02.008 |
| 中文关键词: 符号计算 可视化 氢原子 波函数 |
| 英文关键词: Symbolic Computation Visualization hydrogen atom Wave function |
| 基金项目: |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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