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Divergence in Moller-Plesset theory: A simple explanation based on a two-state model

机译:Moller-Plesset理论中的分歧:基于二态模型的简单解释

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The convergence of the Moller-Plesset expansion is examined for Ne, F-, CH2, and HF and analyzed by means of a simple two-state model. For all systems, increasing diffuseness of the basis introduces highly excited diffuse back-door intruder states, resulting in an an alternating, ultimately divergent expansion. For F-, the divergence begins already at third order; for the remaining systems, it begins later. For CH2, the low-lying doubly excited state leads to a monotonic, slowly decreasing series at lower orders; for the stretched HF molecule, the low-lying doubly excited states lead to a slowly undulating series at lower orders. Although the divergence of the Moller-Plesset series does not invalidate the use of the second-order expansion, it questions the use of higher-order Moller-Plesset expansions in quantum-chemical studies. (C) 2000 American Institute of Physics. [S0021-9606(00)30122-2]. [References: 17]
机译:对Ne,F-,CH2和HF检验了Moller-Plesset展开的收敛性,并通过简单的二态模型进行了分析。对于所有系统,增加基础的扩散会引入高度激发的扩散后门入侵者状态,从而导致交替的最终扩散扩张。对于F-,散度已经从三阶开始;对于其余系统,它将在以后开始。对于CH2,低处的双激发态导致较低阶的单调,缓慢下降的级数。对于拉伸的HF分子,低洼的双激发态导致较低阶的缓慢起伏序列。尽管Moller-Plesset级数的发散不会使二阶展开式的使用无效,但是它对在量子化学研究中使用高阶Moller-Plesset展开式提出了质疑。 (C)2000美国物理研究所。 [S0021-9606(00)30122-2]。 [参考:17]

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