论文标题
运动方法方程式与强烈相关的费米系统和扩展的RPA方法
Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
论文作者
论文摘要
回顾了随机相位近似(RPA)的不同扩展的状态。一般框架是在运动方法方程式中给出的,以及所谓的自一致RPA(SCRPA)的等效绿色功能方法。分析了保利原则的作用。在各种方法之间进行了比较,包括Pauli相关性,尤其是重生的RPA(R-RPA)。研究了核物质的热力学特性,并具有几个簇近似的单粒子dyson方程。不久将讨论更多的粒子RPA,并特别注意α粒子冷凝物。分别概述了有关三级Lipkin,Hubbard和Picket Fence模型获得的结果。提出了延长的第二个RPA(ESRPA)。
The status of different extensions of the Random Phase Approximation (RPA) is reviewed. The general framework is given within the Equation of Motion Method and the equivalent Green's function approach for the so-called Self-Consistent RPA (SCRPA). The role of the Pauli principle is analyzed. A comparison among various approaches to include Pauli correlations, in particular, renormalized RPA (r-RPA), is performed. The thermodynamic properties of nuclear matter are studied with several cluster approximations for the self-energy of the single-particle Dyson equation. More particle RPA's are shortly discussed with a particular attention to the alpha-particle condensate. Results obtained concerning the Three-level Lipkin, Hubbard and Picket Fence Models, respectively, are outlined. Extended second RPA (ESRPA) is presented.