Operator evolution via the similarity renormalization group: The deuteron
Operator evolution via the similarity renormalization group: The deuteron
复制标题
通过相似性重正化群进行算子演化：氘核
DOI：
10.1103/physrevc.82.054001
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Robert J. Perry
中科院分区：
文献类型：
--
作者：
E. Anderson;S. Bogner;R. Furnstahl;Robert J. Perry
相似重正化群 (SRG) 流方程可用于通过解耦高能中间态对低能可观测量的贡献来统一软化核哈密顿量，同时保持多体力的自然层次结构。类似的流动方程可用于一致地演化算子，以便在不进行近似的情况下可观测值保持不变。实践中的问题是，较软的哈密顿量和相关性较低的波函数的优点是否可能会被逼近和应用其他算子的复杂性所抵消。在这里，我们研究了 SRG 演化算子的属性，本文重点关注氘核的应用，但导致了少体系统的方法。我们发现，在某些情况下，通过酉变换算子的因式分解，有利的特征通常会转移到其他算子上，并进行额外的简化。 DOI：10.1103/PhysRevC.82.054001
Similarity renormalization group (SRG)flow equations can be used to unitarily soften nuclear Hamiltonians by decoupling high-energy intermediate-state contributions to low-energy observables while maintaining the natural hierarchy of many-body forces. Analogous flow equations can be used to consistently evolve operators so that observables are unchanged if no approximations are made. The question in practice is whether the advantages of a softer Hamiltonian and less-correlated wave functions might be offset by complications in approximating and applying other operators. Here we examine the properties of SRG-evolved operators, focusing in this article on applications to the deuteron but leading toward methods for few-body systems. We find the advantageous features generally carry over to other operators with additional simplifications in some cases from factorization of the unitary transformation operator. DOI: 10.1103/PhysRevC.82.054001