The dynamic jahn-teller effect with many frequencies: a simple approach to a complicated problem
The dynamic jahn-teller effect with many frequencies: a simple approach to a complicated problem
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具有多种频率的动态 jahn-teller 效应：解决复杂问题的简单方法
DOI：
10.1088/0022-3719/5/15/019
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发表时间：
1972
期刊：
影响因子：
--
通讯作者：
M. O'brien
中科院分区：
文献类型：
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作者：
M. O'brien
对于与晶体的许多简正模具有动态Jahn-Teller相互作用的离子，其哈密顿量可以以这样的方式分离，即几乎所有的耦合强度都集中在与一组仅具有一个频率的振动的相互作用中。所有其余的哈密顿量，包括有效振动不是正常模式的后果，表示在一个简单的形式，并作为第一部分的能级上的二阶微扰处理。这一方法对Jahn-Teller系统的低能级有很好的近似，可用于声子散射的研究。一些结果推导出的情况下，在立方晶体网站的E电子偶极子。
The hamiltonian for an ion which has a dynamic Jahn-Teller interaction with the many normal modes of a crystal can be separated in such a way that nearly all the coupling strength is concentrated in an interaction with a set of vibrations of one frequency only. All the rest of the hamiltonian, including the consequence of the effective vibration not being a normal mode, is expressed in a simple form, and treated as a second order perturbation on the energy levels of the first part. This procedure gives a good approximation to the lower states of the Jahn-Teller system, and can be used in studying phonon scattering. Some results are derived for the case of an E electronic doublet at a cubic crystal site.