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