电子系统的多体散射理论
Many-body scattering theory of electronic systems
摘要：
本文综述了近年来在关联少体非相对论库仑系统连续谱解析处理方面的进展。精确可解的二体问题是不可分的三粒子系统的入门。对于后者的情况下，我们讨论了存在的一个近似分离的长期和短期的动态暴露在一个适当选择的曲线坐标。导出了长程哈密顿量的三体波函数，并给出了近似计算短程动力学的方法。此外，我们提出了一个推广的方法用于推导的三体波函数的散射态的$N$带电粒子。为了处理有限系统的热力学性质，我们开发和讨论了最近的格林函数方法设计的非微扰制度。此外，我们给出了一个简要的说明如何热力学性质和临界现象可以暴露在有限的相互作用系统。
英文摘要：
This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable three-particle system. For the latter case we discuss the existence of an approximate separability of the long and the short-range dynamics which is exposed in an appropriately chosen curvilinear coordinates. The three-body wave functions of the long-ranged part of the Hamiltonian are derived and methods are presented to account approximately for the short-ranged dynamics. Furthermore, we present a generalization of the methods employed for the derivation of the three-body wave functions to the scattering states of $N$ charged particles. To deal with thermodynamic properties of finite systems we develop and discuss a recent Green function methodology designed for the non-perturbative regime. In addition, we give a brief account on how thermodynamic properties and critical phenomena can be exposed in finite interacting systems.
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