Lie代数方法在线形三原子分子转动谱计算中的应用
摘要
利用动力学群U1(4) U2(4)的对称性质以及相应的Lie代数给出了描写线形三原子分子振转谱的Hamilton量. 在考虑了振转相互作用后, 所得上述Hamilton量本征值的表达式具有在光谱分析计算中常用的项值方程的形式. 利用此表达式拟合观察线位可以得到分子的振转常数. 作为算例, 对N2O及HCN分子(0200-0110)n2红外跃迁谱带的转动能级进行了拟合分析, 所得均方根误差分别为0.00001和0.0014 cm-1.
出处
《中国科学（B辑）》
CAS
CSCD
北大核心
2001年第5期419-427,共9页
Science in China(Series B)
基金
国家自然科学基金(批准号: 19694033)
山东省自然科学基金(批准号: Y98B08027)资助项目
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