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| 推导粒子数态波函数的厄米多项式算符法 | |
| 引用本文： | 周军,宋军,范洪义.推导粒子数态波函数的厄米多项式算符法[J].大学物理,2011,30(11):5-6. |
| 作者姓名： | 周军 宋军 范洪义 |
| 作者单位： | 1. 皖西学院材料与化工系,安徽六安 237012;中国科技大学材料科学与工程系,安徽合肥 230026 2. 皖西学院材料与化工系,安徽六安,237012 3. 中国科技大学材料科学与工程系,安徽合肥,230026 |
| 基金项目： | 安徽省高校青年人才基金 |
| 摘 要： | 引入厄米多项式算符并用其正规乘积展开式推导出了粒子数态|n〉在坐标表象和动量表象下的波函数,并由此得出了坐标和动量本征态的福克(Fock)表示形式,这是一个简洁而全新的推导方法. |
| 关 键 词： | 厄米多项式算符 正规乘积展开 粒子数态 波函数 |
Derivation of wave functions of particle number state by using Hermite polynomial operator |
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| ZHOU Jun,SONG Jun,FAN Hong-yi.Derivation of wave functions of particle number state by using Hermite polynomial operator[J].College Physics,2011,30(11):5-6. | |
| Authors: | ZHOU Jun SONG Jun FAN Hong-yi |
| Institution: | 1.Department of Material and Chemical Engineering, West Anhui University,Luan,Anhui 237012,China;2.Department of Material Science and Engineering,University of Science and Technology of China,Hefei,Anhui 230026,China) |
| Abstract: | By introducing the Hermite polynomial operator and deriving its normally ordered expansion,we derive the wave functions of particle number state in the coordinate representation and momentum representation,respectively,which can directly lead to the Fock representation of coordinate and momentum eigenstate.Our way is brand-new and concise. |
| Keywords: | Hermite polynomial operator: normal ordering expansion particle number state wave function |
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