| H+2基态近似解析波函数对振动能级影响的研究 |
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| 引用本文： | 秦爱丽,王亚玲,郭迎春,陈扬骏. H+2基态近似解析波函数对振动能级影响的研究[J]. 华东师范大学学报(自然科学版), 2009, 2009(1): 137-140 |
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| 作者姓名： | 秦爱丽 王亚玲 郭迎春 陈扬骏 |
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| 作者单位： | 1. 华东师范大学物理系,精密光谱科学与技术国家重点实验室,上海,200062;河北工程大学理学院,河北邯郸,056038
2. 华东师范大学物理系,精密光谱科学与技术国家重点实验室,上海,200062 |
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| 基金项目： | 国家自然科学基金，上海市重点学科资助项目 |
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| 摘 要： | 具体考察了H+2基态近似解析波函数φH+2=1/2(1+S)1/2φH(z,ra)+φH(z,rb))对振动能级的影响，得到了基于此波函数的波恩-奥本海默近似下的H+2势能曲线的解析表达式，并由此计算了振动能.结果发现，当仅考虑H+2的基态，z取1.23时，振动能级和平衡位置都与实验值很相符.当考虑较高的振动能级时，波函数中的z取1.13会更合理，因此时的振动能级和实际振动能级值符合得很好.
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| 关 键 词： | 氢分子离子基态波函数 势能曲线 振动能级 氢分子离子基态波函数 势能曲线 振动能级 |
| 收稿时间： | 2008-06-06 |
| 修稿时间： | 2008-08-14 |
Effect on vibrational levels of H_2~+ by its approximate analytic wave function for the ground state |
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| QIN Ai-li,WANG Ya-ling,GUO Ying-chun,CHEN Yang-qin. Effect on vibrational levels of H_2~+ by its approximate analytic wave function for the ground state[J]. Journal of East China Normal University(Natural Science), 2009, 2009(1): 137-140 |
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| Authors: | QIN Ai-li WANG Ya-ling GUO Ying-chun CHEN Yang-qin |
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| Affiliation: | 1;2;1.State Key Laboratory of Precision Spectroscopy;Department of Physics;East China Normal University;Shanghai 200062.China;2.Department of Physics;He Bei University of Engineering;Handan Hebei 056038;China |
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| Abstract: | This paper studied the effect of approximate analytic wave function of the ground state of φH+2=1/2(1+S)1/2φH(z,ra)+φH(z,rb)) on its vibrational levels. Potential energy as a function of internuclear distance and z was calculated, and vibrational energy levels of the ground state were also worked out. By comparing them with experimental vibrational energy levels, it was found that this wave function with z=1.23 works very well for ground vibrational level of H+2 But for higher vibrational levels, z=1.13 is better. |
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| Keywords: | wave function for ground state of hydrogen ion potential curve vibrational level |
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