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Dynamical Lie algebra method for highly excited vibrational state of asymmetric linear tetratomic molecules |
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| Authors: | Dongtai?Feng mailto:fengdongtai@yahoo.com.cn" title=" fengdongtai@yahoo.com.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Shiliang?Ding,Meishan?Wang |
| Affiliation: | 1. School of Physics and Microelectronics, School of Chemistry, Shandong University, Jinan 250100, China;Department of Physics, Shandong University of Technology, Zibo 255000, China 2. School of Physics and Microelectronics, School of Chemistry, Shandong University, Jinan 250100, China |
| Abstract: | The highly excited vibrational states of asymmetric linear tetratomic molecules are studied in the framework of Lie algebra. By using symmetric groupU 1(4)U 2(4)⊗U 3(4), we construct the Hamiltonian that includes not only Casimir operators but also Majorana operators M12, M13 and M23, which are useful for getting potential energy surface and force constants in Lie algebra method. By Lie algebra treatment, we obtain the eigenvalues of the Hamiltonian, and make the concrete calculation for molecule C2HF. |
| Keywords: | highly excited vibrational states Lie algebra method algebraic Hamiltonian Majorana operators |
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