论文标题
多粒子系统的广义对角线化方案
Generalized diagonalization scheme for many-particle systems
论文作者
论文摘要
尽管发展了数值方法的发展，但分析方法的发展仍然是对多粒子系统更深入理解的关键作用。在这个方面，哈密顿人的对角度方案是该领域的重要方向。在这些技术中，此处介绍的方法可能是使用最广泛的应用范围的方法：我们证明，逐步和连续的单一转换都可以对角度化多个固定的哈密顿量以及扰动理论以及非驱动治疗，并且在同一理论框架内都可以理解非扰动治疗。新方法基于引入通用投影算子的引入，并允许开发重新归一化方案，该方案用于直接评估多个粒子系统的物理量。该方法的适用性显示在两个重要的基本多粒子问题上。
Despite the advances in the development of numerical methods analytical approaches still play the key role on the way towards a deeper understanding of many-particle systems. In this regards, diagonalization schemes for Hamiltonians represent an important direction in the field. Among these techniques the method, presented here, might be that approach with the widest range of possible applications: We demonstrate that both stepwise and continuous unitary transformations to diagonalize the many-particle Hamiltonian as well as perturbation theory and also non-perturbative treatments can be understood within the same theoretical framework. The new method is based on the introduction of generalized projection operators and allows to develop a renormalization scheme which is used to evaluate directly the physical quantities of a many-particle system. The applicability of this approach is shown for two important elementary many-particle problems.
