华东师范大学学报(自然科学版) ›› 2009, Vol. 2009 ›› Issue (1): 137-140.

• 应用物理,电子学 • 上一篇    

H+2基态近似解析波函数对振动能级影响的研究

秦爱丽1,2;王亚玲1;郭迎春1;陈扬骎1
   

  1. 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;2. 河北工程大学 理学院，河北 邯郸 056038
  • 收稿日期:2008-06-06 修回日期:2008-08-14 出版日期:2009-01-25 发布日期:2009-01-25
  • 通讯作者: 秦爱丽

Effect on vibrational levels of H+2 by its approximateanalytic wave function for the ground state(Chinese)

QIN Ai-li 1,2;WANG Ya-ling1;GUO Ying-chun1;CHEN Yang-qin1
   

  1. 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
  • Received:2008-06-06 Revised:2008-08-14 Online:2009-01-25 Published:2009-01-25
  • Contact: QIN Ai-li

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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.

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

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.

Key words: potential curve, vibrational level, wave function for ground state of hydrogen ion, potential curve, vibrational level

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