Many-Body Methods at Finite Temperature
Many-Body Methods at Finite Temperature
复制标题
有限温度下的多体方法
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
D. Vautherin
中科院分区：
文献类型：
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作者：
D. Vautherin
本文的目的是回顾与描述有限温度下多费米子系统相关的近似方法。在第 1.2 节和第 1.3 节中，我们回顾了独立费米子的大正则形式主义，并讨论了它在有限原子核情况下的适用性，在有限原子核情况下，由涉及的少量粒子引起的波动预计会相当大。在 1.4 节中，我们提出了基于变分法的平均场方程的推导。在第 2 节中，我们讨论配分函数的微扰展开。我们考虑一个特别重要的子系列，其中包含所谓的环图，其求和导致随机相位近似（RPA）。第 3 节描述了热核中巨共振物理学的应用。
The purpose of the present paper is to review the approximation methods relevant to describe many-fermion systems at finite temperature. In Sections 1.2 and 1.3 we review the grand canonical formalism for independent fermions and discuss its applicability to the case of finite nuclei for which fluctuations arising from the small number of particles involved are expected to be sizeable. In Section 1.4 we present a derivation of the mean-field equations based on the variational method. In Section 2 we discuss perturbation expansions of partition functions. We consider a particularly important subseries containing the so called ring diagrams whose summation leads to the random phase approximation (RPA). In Section 3 an application to the physics of giant resonances in hot nuclei is described.