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Quantum Monte Carlo method of localized molecular orbitals

机译:局部分子轨道的量子蒙特卡罗方法

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摘要

The fixed-node quantum Monte Carlo (FNQMC) method is one of the most accurate methods, with which Schrodinger equation could be solved including 80%—100% of the correlation energies for the molecules with 2—10 electrons. However, the method has someimperfections, i.e. (i) parametric numbers are too many to be optimized; (ii) the cusp condition of the trial function cannot be satisfied. This note presents a localized molecular orbital quantum Monte Carlo (LQMC) method based on FNQMC, LQMC involvesthree parts: (i) constructing anti-symmetrical determinate from localized molecular orbitals; (ii) constructing the localized molecular orbitals from novel base functions; (iii) employing a novel correlation function. The calculated results show that the imperfection mentioned above is efficiently overcome by this method proposed.
机译:固定节点量子蒙特卡罗(FNQMC)方法是最精确的方法之一,通过该方法可以求解Schrodinger方程,其中包含具有2-10个电子的分子的80%-100%的相关能。但是,该方法有一些缺陷,即(i)参数数太多而无法优化; (ii)无法满足试用功能的尖锐条件。本说明提出了一种基于FNQMC的局部分子轨道量子蒙特卡罗(LQMC)方法,LQMC包括三个部分:(i)从局部分子轨道构造反对称确定性; (ii)从新的基本函数构造局部分子轨道; (iii)采用新颖的相关函数。计算结果表明,该方法有效地克服了上述缺陷。

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