| N维各向同性谐振子径向平均值的递推关系和解析表达式 |
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| 引用本文： | 陈昌远,王忠纯,刘成林,孙东升. N维各向同性谐振子径向平均值的递推关系和解析表达式[J]. 光子学报, 2002, 31(6): 650-653 |
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| 作者姓名： | 陈昌远 王忠纯 刘成林 孙东升 |
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| 作者单位： | 盐城师范学院物理系,盐城,224002 |
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| 基金项目： | Supported by the natural science foundation of the Education Departmentof Jiangsu Province and the Program founda-tion of Yancheng Normal College |
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| 摘 要： | 推导出了用于N维各向同性谐振子径向平均值计算的二个递推关系,并在-3≤s≤3的条件下,给出了平均值〈nrJN-2|r2s|nrJN-2〉的值.二维和三维各向同性谐振子的相关结果均作为特例包含在结论中.
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| 关 键 词： | N维各向同性谐振子 径向平均值 递推关系 解析表达式 |
| 收稿时间： | 2001-11-13 |
EXPLICIT EXPRESSIONS AND RECURRENCE FORMULAS OF RADIAL AVERAGE VALUE FOR N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR |
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| Abstract. EXPLICIT EXPRESSIONS AND RECURRENCE FORMULAS OF RADIAL AVERAGE VALUE FOR N-DIMENSIONAL ISOTROPIC HARMONIC OSCILLATOR[J]. Acta Photonica Sinica, 2002, 31(6): 650-653 |
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| Authors: | Abstract |
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| Affiliation: | Department of Physics, Yancheng Normal College, Yancheng, China 224002 |
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| Abstract: | Two recurrence formulas for radial average values of N-dimensional isotropic harmonic oscillator are derived.Explicit expressions for 〈nrJN-2|r2s|nrJN-2〉are given for -3≤s≤3.These results can be applied to discuss average value of centrifugal potential energy and other physical quantities.The relevant results of 3-dimensional and 2-dimensional isotropic harmonic oscillators are contained in more general conclusion as special cases. |
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| Keywords: | N dimensional isotropic harmonic oscillator Radial average values Recurrence formulas Explicit expressions |
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