| 变形谐振子势的能谱方程 |
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| 引用本文： | 朱燕,邱为钢.变形谐振子势的能谱方程[J].大学物理,2011,30(8):59-60. |
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| 作者姓名： | 朱燕 邱为钢 |
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| 作者单位： | 湖州师范学院理学院,浙江 湖州,313000 |
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| 基金项目： | 浙江省大学生科技创新活动计划(新苗人才计划); 浙江省高等学校创新团队(T200924); 湖州师范学院大学生科研项目、湖州师范学院省级精品课程“量子力学”项目资助 |
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| 摘 要： | 讨论了3种变形谐振子势:左右两边不同参数的谐振子势、左边方形势加右边谐振子势和谐振子势中间加δ势中的能量本征态函数.这些函数都可以由厄米函数表示.由波函数及其一次导数在原点的衔接条件,得到了能谱方程.
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| 关 键 词： | 变形谐振子势 厄米函数 能谱方程 |
Energy spectrum equation of deformed harmonic oscillator potential |
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| ZHU Yan,QIU Wei-gang.Energy spectrum equation of deformed harmonic oscillator potential[J].College Physics,2011,30(8):59-60. |
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| Authors: | ZHU Yan QIU Wei-gang |
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| Institution: | ZHU Yan,QIU Wei-gang(School of Science,Huzhou Teachers College,Huzhou,Zhejiang 313000,China) |
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| Abstract: | Three kinds of deformed harmonic oscillator potentials are given: left and right part with different parameters,left square potential and right harmonic oscillator potential,harmonic oscillator potential plus delta potential.The eigen-state of these potentials can be expressed in terms of the Hermite function.The energy spectrum equations are derived from the matching condition of wave function and its first derivative at origin. |
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| Keywords: | deformed harmonic oscillator potential Hermite function energy spectrum equation |
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