动力学对称群方法对三原子分子高激发振动态的理论研究

DYNAMICAL SYMMETRY GROUP FOR VIBRATIONAL SPECTRA OF TRIATOMIC MOLECULES 

利用动力学对称群方法研究了弯曲三原子分子的振动高激发态能谱．该方法显示：三原子分子的动力学对称性为Ｕ１（４）Ｕ２（４），则三原子分子的Ｈａｍｉｌｔｏｎｉａｎ量可写成代数的各元素之和，通过李代数处理而求得分子代数Ｈａｍｉｌｔｏｎｉａｎ量的本征值，进而得到分子的振动能谱．并具体计算了Ｏ３分子．

Abstract Dynamical symmetry group for highly excited vibrational spectra of triatomic molecules has been studied.The results showed that the dynamicsl symmetry of tiratomic molecules are U 1(4)U 2(4) .Therefore,the Hamiltonian of triatomic molecules can be writen as the sum of elements of Lie algebra U 1(4)U 2(4) . And the eigenvalue of molecular Hamiltonian can be obtained by Lie algebraic treatment.