变分二阶密度矩阵优化中的子系统约束:消除离解行为
Subsystem constraints in variational second order density matrix optimization: curing the dissociative behavior
摘要:
以前对双原子分子的研究表明,当N-可表示性在通常的二指标(P,Q,G)甚至三指标(T1,T2)条件下施加时,变分二阶密度矩阵理论在离解极限方面存在严重问题[H. van Aggelen等人,11,5558(2009)]。异质结分子倾向于离解成部分带电的原子。在本文中,我们介绍了一个一般类的N-可表示性条件,称为子系统的约束,并表明,他们治愈的解离问题,在一点额外的计算成本。作为数值例子,研究了BeB+的单重态势能面。延伸到多原子分子,更多的子系统的选择,可以确定,也进行了讨论。
英文摘要:
A previous study of diatomic molecules revealed that variational second-order density matrix theory has serious problems in the dissociation limit when the N-representability is imposed at the level of the usual two-index (P, Q, G) or even three-index (T1, T2) conditions [H. van Aggelen et al., Phys. Chem. Chem. Phys. 11, 5558 (2009)]. Heteronuclear molecules tend to dissociate into fractionally charged atoms. In this paper we introduce a general class of N-representability conditions, called subsystem constraints, and show that they cure the dissociation problem at little additional computational cost. As a numerical example the singlet potential energy surface of BeB+ is studied. The extension to polyatomic molecules, where more subsystem choices can be identified, is also discussed.
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