Acta Phys. -Chim. Sin. ›› 2006, Vol. 22 ›› Issue (12): 1547-1550.doi: 10.3866/PKU.WHXB20061222
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LUO Fei-Fei;CHEN Fei-Wu;CHEN Chun-Hui
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Abstract: The size-consistency of the single reference perturbation series corresponding to two Hamiltonian partitions has been studied theoretically using an N hydrogen molecular model. One perturbation series corresponding to the so-called Epstein-Nesbet partition was found to be size consistent up to the fourth order, and another perturbation series (Chen, F.; Davidson, E. R.; Iwata, S. Int. J. Quantum Chem., 2002, 86: 256, see the discussions about Eq.(24)) was found to be not size consistent starting from the second order. However, when its denominator was expanded in a Taylor series, a size consistent perturbation expansion was obtained, for the size inconsistent terms turned out to be cancelled out.
Key words: Size consistency, Single reference perturbation theory, Perturbation expansion, Hamiltonian
LUO Fei-Fei;CHEN Fei-Wu;CHEN Chun-Hui. Size Consistency Study on the Single Reference Perturbation Theory with Two Hamiltonian Partitions[J].Acta Phys. -Chim. Sin., 2006, 22(12): 1547-1550.
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URL: http://www.whxb.pku.edu.cn/EN/10.3866/PKU.WHXB20061222
http://www.whxb.pku.edu.cn/EN/Y2006/V22/I12/1547
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