Amiri N, Ghapanvari M, Jafarizadeh M A
Department of Nuclear Physics, University of Tabriz, Tabriz, 51664, Iran.
Plasma Physics and Fusion Research School, Nuclear Science and Technology Research Institute, Tehran, Iran.
Sci Rep. 2020 May 6;10(1):7663. doi: 10.1038/s41598-020-64266-z.
It is the aim of this study to discuss for two-body systems like homonuclear molecules in which eigenvalues and eigenfunctions are obtained by exact solutions of the solvable models based on SU(1, 1) Lie algebras. Exact solutions of the solvable Hamiltonian regarding the relative motion in a two-body system on Lie algebras were obtained. The U(1) ↔ O(2), U(3) ↔ O(4) and U(3) ↔ O(4) transitional Hamiltonians are employed to described for H and N molecules. Applications to the rotation-vibration spectrum for the diatomic molecule indicate that complicated Hamiltonian can be easily determined via the exactly solvable method. The results confirm the mixing of both vibrating and rotating structures in H and N molecules.
本研究旨在讨论双体系统，如由基于SU(1, 1)李代数的可解模型的精确解得到本征值和本征函数的同核分子。得到了关于李代数上双体系统相对运动的可解哈密顿量的精确解。采用U(1) ↔ O(2)、U(3) ↔ O(4)和U(3) ↔ O(4)过渡哈密顿量来描述H和N分子。对双原子分子转动 - 振动光谱的应用表明，通过精确可解方法可以轻松确定复杂的哈密顿量。结果证实了H和N分子中振动和转动结构的混合。
