Model of n coupled generalized deformed oscillators for vibrations of polyatomic molecules.

Model of n coupled generalized deformed oscillators for vibrations of polyatomic molecules.
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DOI:
10.1103/physreva.48.3611
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发表时间:
1993-11
期刊:
Physical review. A, Atomic, molecular, and optical physics
影响因子:
--
通讯作者:
Bonatsos;Daskaloyannis
Bonatsos;Daskaloyannis
中科院分区:
其他
文献类型:
--
作者:
Bonatsos;Daskaloyannis

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通过使用量子代数技术,构造了一个与Morse势具有相同频谱的广义变形振子。Iachello和Oss的n耦合非谐振子模型[Phys.莱特牧师。66,2976(1991)],适用于描述多原子分子的振动光谱,随后用这种广义变形振子写成。除了阐明Iachello和Oss模型与使用耦合振子描述振动分子光谱的其他模型之间的关系外,目前的形式还允许在不需要额外计算的情况下构造一大类精确可解的模型
A generalised deformed oscillator giving the same spectrum as the Morse potential is constructed through the use of quantum-algebraic techniques. The model of n coupled anharmonic oscillators of Iachello and Oss [Phys. Rev. Lett. 66, 2976 (1991)], suitable for the description of vibrational spectra of polyatomic molecules, is subsequently written in terms of such generalised deformed oscillators. In adition to clarifying the relation of the model of Iachello and Oss to other models using coupled oscillators for the description of vibrational molecular spectra, the present formalism allows for the construction of a large class of exactly soluble models with no extra computational effort