| 阶梯算符方法可用性判据 |
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| 引用本文： | 付奎,龙姝明,孙彦清.阶梯算符方法可用性判据[J].河南师范大学学报(自然科学版),2010,38(3). |
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| 作者姓名： | 付奎 龙姝明 孙彦清 |
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| 作者单位： | 1. 汉中职业技术学院,计算机与电子科学系,陕西,汉中,723000
2. 陕西理工学院,物理系,陕西,汉中,723000 |
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| 基金项目： | 陕西省自然科学基础研究计划基金，陕西省教育厅专项科研计划基金 |
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| 摘 要： | 能量算符本征值问题构成的二阶变系数微分方程边值问题总可以用幂级数方法求解,也可能存在技巧性阶梯算符方法的简捷解法。探讨阶梯算符方法对一般的二阶变系数微分方程边值问题求解是否可用的判据,给出阶梯算符构造思路和二阶变系数微分方程边值问题求解思路.
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| 关 键 词： | 阶梯算符 本征值问题 可用性判据 级数方法 |
Availability Judgments Criterion of the Ladder Operator Methods |
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| FU Kui,LONG Shu-ming,SUN Yan-qing.Availability Judgments Criterion of the Ladder Operator Methods[J].Journal of Henan Normal University(Natural Science),2010,38(3). |
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| Authors: | FU Kui LONG Shu-ming SUN Yan-qing |
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| Abstract: | The second order differential equation boundary value problem of Energy operator eigenvalue problems can always be solved using power series method,there may be techniques of ladder operator method simple and convenient solution.Exploring the ladder operator method for general second order differential equation boundary value problem solving is a available criterion.Ladder operators are given construct ideas and solving second order differential equation boundary value problem of the idea. |
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| Keywords: | ladder operator eigenvalue problem availability judgments criterion series methods |
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