| 谐振子的下降和上升算符的一种函数关系和它的应用 |
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| 引用本文： | 张岩文,殷保祥.谐振子的下降和上升算符的一种函数关系和它的应用[J].兵团教育学院学报,2007,17(3):22-24. |
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| 作者姓名： | 张岩文 殷保祥 |
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| 作者单位： | 石河子大学师院/兵团教院,新疆,石河子,832003 |
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| 摘 要： | 在量子力学中求解含时谐振子问题时,谐振子的下降和上升算符的几个特殊形式的计算起着关键作用,但传统的计算方法比较烦琐。笔者从量子力学的一个常用公式推导了一个相关的谐振子的下降和上升算符的一种函数关系,并将这个关系应用到具体问题当中,使得计算得到了简化。
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| 关 键 词： | 谐振子的下降和上升算符 算符函数关系 |
| 文章编号： | 1009-1548(2007)03-0022-03 |
| 修稿时间： | 2007年3月7日 |
A Kind of Functional Relation of the Decline and Increased of Oscillator and Its Application |
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| ZHANG Yan-wen,YING Bao-xiang.A Kind of Functional Relation of the Decline and Increased of Oscillator and Its Application[J].Journal of Bingtuan Education Institute,2007,17(3):22-24. |
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| Authors: | ZHANG Yan-wen YING Bao-xiang |
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| Abstract: | When oscillator problems are solved in the quantum mechanics,the calculation of some special forms of the decline and rise of the oscillator operator plays a key role.However,the traditional methods of calculation is overelaborate.This article uses a formula derived from the quantum mechanics of a harmonic oscillator to reason a kind of functional relation related the decline and increased operator and applies it to concrete calculation and simplifies its calculating procedure. |
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| Keywords: | the oscillator decline and increased operator functional relation |
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