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arXiv 1106.0956cond-mat.str-el
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分子电子结构的投影准粒子理论

Projected Quasiparticle Theory for Molecular Electronic Structure

Gustavo E. Scuseria, Carlos A. Jimenez-Hoyos, Thomas M. Henderson, Kousik Samanta, Jason K. Ellis

摘要:

我们推导并实现了投影Hartree-Fock-Bogoliubov(HFB)方程,并将其应用于分子的电子结构问题。所有的对称性(粒子数、自旋、空间和复共轭)都被故意打破,并在自洽的投影后变分方法中恢复。我们表明,由此产生的方法产生了一个全面的黑盒处理强相关性与有效的单电子(平均场)的计算成本。随后的波函数是多参考字符和渗透的整个希尔伯特空间的问题。能量表达式不同于常规的HFB理论,但仍然是一个独立的准粒子密度矩阵的泛函。所有约化的密度矩阵都可表示为规范网格上的跃迁密度矩阵的积分。我们提出了几个证明的原则的例子,展示了令人信服的力量,预计准粒子理论的电子结构理论。

英文摘要:

We derive and implement symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations and apply them to the molecular electronic structure problem. All symmetries (particle number, spin, spatial, and complex conjugation) are deliberately broken and restored in a self-consistent variation-after-projection approach. We show that the resulting method yields a comprehensive black-box treatment of strong correlations with effective one-electron (mean-field) computational cost. The ensuing wave function is of multireference character and permeates the entire Hilbert space of the problem. The energy expression is different from regular HFB theory but remains a functional of an independent quasiparticle density matrix. All reduced density matrices are expressible as an integration of transition density matrices over a gauge grid. We present several proof-of-principle examples demonstrating the compelling power of projected quasiparticle theory for electronic structure theory.

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