多体问题中的关联效应

本文利用作者之一在参考文献4]中提出的广义自洽场方法,用统一的观点研究了多体系统的各种关联现象,它们包括核物质现象、电子气体的集体振璗现象、超导电现象等等。文章首先提出处理关联现象的一般方法,并讨论了它与微扰方法的关系;以后在二体关联近似下得到Brueckner的核物质理论,Bohm-Pines的集体振璗理论,作为其特例,并与这些作者的结果进行了比较;最后用Gell-Mann、Low处理束缚态的方法讨论了超导理论与非理想气体的零声问题,使处理这些现象的方法能更明显地表现出其物理意义。由这些讨论可以看出广义自洽场方法是处理关联现象的有效方法。

ON THE CORRELATION EFFECT IN MANY-BODY SYSTEMS

Using the generalized method of self-consistent field developed by one of the authors^4], we discuss various correlation phenomena of many-body systems with a unified viewpoint. The general method of treatment is proposed and compared with the method of perturbation. From the approximation with two-body correlation we obtain, as particular applications, the Bruckner theory of nuclear matter and the Bohm-Pines theory of the collective oscillation of electron,gases. Finally the superconductivity and zero-point oscillations in non-ideal gases are discussed by solving, the bound state problem with the present method and the Gell-mann Low procedure. It is concluded that the method is very effective in treating correlation phenomena.