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Dynamical optimization for partition theory

机译:分区理论的动态优化

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摘要

How to partition a chemical system into its constituent parts is a classic problem of theoretical chemistry. A formally exact solution has recently been developed, partition theory (PT), based on density functional theory [Cohen, M. H.; Wasserman, A. J. Phys. Chem. A 2007, 111, 2229]. PT presents a constrained optimization problem to which the Car-Parrinello (CP) method of electronic structure theory is well suited. We propose here a generalization of the CP method suitable for PT and thereby make way for its practical numerical implementation. We demonstrate that this CP implementation of PT need not increase the complexity of the computation of the system's electronic structure. The scheme provides an exact DFT formulation of, e.g., atoms in molecules theory that is amenable to numerical implementation.
机译:如何将化学系统划分为其组成部分是理论化学的经典问题。最近,基于密度泛函理论[Cohen,M. H .; Wasserman,A。J. Phys。化学A 2007,111,2229]。 PT提出了一个约束优化问题,电子结构理论的Car-Parrinello(CP)方法非常适合。我们在这里提出适用于PT的CP方法的一般化,从而为其实用的数值实现方法让路。我们证明了PT的这种CP实现无需增加系统电子结构计算的复杂性。该方案提供了例如分子理论中的原子的精确DFT公式,该公式适合于数值实现。

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