对I.“关于库仑相互作用势及其导数的单程加法定理”的扩充意见”的综合扩充反驳。I. Guseinov(化学物理,第309卷(2005),第。209-213)”
Combined Extended Rejoinder to "Extended Comment on "One-Range Addition Theorems for Coulomb Interaction Potential and Its Derivatives" by I. I. Guseinov (Chem. Phys., Vol. 309 (2005), pp. 209-213)"
摘要:
本文是对近年来Weniger对我们在著名期刊上发表的论文所作评论的一个彻底的批评。对导致Weniger建议的评论的论点进行详细和批判性的审查,揭示了一些严重的缺陷。在我们发表的论文中,我们证明了Slater型轨道、类Coulomb-Yukawa关联相互作用势(CIP)及其导数的非对称和对称单程加法定理是由相应Hilbert空间中指数型轨道的完备正交集-ETO展开式导出的,在那里,Weniger对我们论文的评论中提出的具体批评,实际上触及了作品的一个非常小的方面,这与所得出的结论完全无关。从我们的论文中可以看出,利用非对称和对称单程加法定理得到的具有整数和非整数主量子数的Slater型轨道上的各种多中心积分公式,都经过了计算机计算的检验。我们拒绝Weniger的个人意见发表的论文Guseinov和他的同事从1978年至2006年和尊敬的裁判单范围除了定理和多中心积分。所有关于理论框架不一致和缺陷的说法都被认为是毫无根据的。这份答辩书包含了对Weniger评论的所有回答。
英文摘要:
This article is a thorough critique to the Weniger's comments made to our papers published in prestigious journals in the recent years. A detailed and critical examination of the arguments that led to the suggested comment by Weniger reveals some serious flaws. In our published papers we have shown that the unsymmetrical and symmetrical one-range addition theorems for Slater type orbitals, Coulomb-Yukawa like correlated interaction potentials (CIPs) and their derivatives are derived from the expansions in terms of -ETOs that are complete and orthonormal sets of exponential type orbitals in corresponding Hilbert spaces, where The concrete criticism raised in Weniger's comment against our papers actually touches a very minor aspect of the works that are not relevant at all for the conclusions, which are made. As can be seen from our papers, all of the formulas for different kinds of multicenter integrals over Slater type orbitals with integer and noninteger principal quantum numbers obtained by the use of unsymmetrical and symmetrical one-range addition theorems were tested by computer calculations. We reject the Weniger's personal views about papers published by Guseinov and his coworkers from 1978 to 2006 and respectable referees on one-range addition theorems and multicenter integrals. All claims of inconsistencies and flaws in the theoretical framework are rejected as unfounded. This rejoinder paper contains all of the answers to Weniger's comments.
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