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Degenerate and Nondegenerate States in Jahn-Teller Problems

机译:Jahn-Teller问题中的退化态和非退化态

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摘要

A general discussion of the role of degeneracy in the Jahn-Teller effect (JTE) theory is discussed. The latest developments of the theory in combination with electronic structure calculations show that the pseudo JTE, which is based on vibronic coupling between two or more nondegenerate electronic states, does not require the energy gap Δ between them to be small. Large vibronic effects are possible for any Δ value, and the coupling to excited states is the only source of instability of the ground state. This allows for a more general formulation of the theorem of vibronic coupling effects, which makes the theory applicable to any polyatomic system. For ground vibronic energy levels, recent achievements show that they may be nondegenerate too. Degeneracy is thus not an inalienable attribute to polyatomic systems with strong vibronic coupling effects.
机译:讨论了简并性在Jahn-Teller效应(JTE)理论中的作用。该理论的最新发展结合电子结构计算表明,基于两个或多个非简并电子态之间的振动耦合的伪JTE不需要它们之间的能隙Δ小。对于任何Δ值,都可能产生大的振动效应,并且耦合到激发态是基态不稳定的唯一来源。这允许对振动耦合效应定理进行更一般的表述,这使得该理论适用于任何多原子系统。对于地面振动能级,最近的成就表明它们也可能不会退化。因此,简并性不是具有强振动耦合效应的多原子系统不可剥夺的属性。

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