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arXiv 1206.0036nucl-th
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非定域核子-核子势的实空间虚时算符

Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials

J. E. Lynn, K. E. Schmidt

摘要:

原子核结构量子蒙特卡罗方法,如格林函数或辅助场扩散蒙特卡罗,使用了包含尽可能少的导数的唯象局部实空间势,如Argonne-Urbana相互作用族,使采样简单有效。基组方法如无核壳模型和耦合簇技术通常使用较软的非局部势,因为它们随着基组大小的收敛更快。这些非定域势通常定义在动量空间中,并且通常基于有效场论。当使用不同的电位时,很难比较这两种方法的结果。我们展示了使用这种非局域势进行量子蒙特卡罗计算所需的实时空间时空传播子的评估方法。我们探讨了大虚时间传播子对于不同势的普适性,并讨论了如何将非定域势用于量子蒙特卡罗计算。

英文摘要:

Nuclear structure quantum Monte Carlo methods such as Green's function or auxiliary field diffusion Monte Carlo have used phenomenological local real-space potentials containing as few derivatives as possible, such as the Argonne-Urbana family of interactions, to make sampling simple and efficient. Basis set methods such as no-core shell model and coupled-cluster techniques typically use softer non-local potentials because of their more rapid convergence with basis set size. These non-local potentials are usually defined in momentum space and are often based on effective field theory. Comparisons of the results of the two types of methods can be difficult when different potentials are used. We show methods for evaluating the real-space imaginary-time propagators needed to perform quantum Monte Carlo calculations using such non-local potentials. We explore the universality of the large imaginary time propagators for different potentials and discuss how non-local potentials can be used in quantum Monte Carlo calculations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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