The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model in Many-Fermion System - The Quasiparticle in the Conservation of the Fermion Number

被引：2

作者：

Tsue, Yasuhiko ^{[1
]}

Providencia, Constanca ^{[2
]}

da Providencia, Joao ^{[2
]}

Yamamura, Masatoshi ^{[3
]}

机构：

[1] Kochi Univ, Fac Sci, Div Phys, Kochi 7808520, Japan

[2] Univ Coimbra, Dept Fis, P-3004516 Coimbra, Portugal

[3] Kansai Univ, Fac Engn Sci, Dept Pure & Appl Phys, Suita, Osaka 5648680, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2012年 / 128卷 / 04期

关键词：

COLLECTIVE MOTION; SPHERICAL NUCLEI; EXCITATION;

D O I：

10.1143/PTP.128.693

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between two approaches to the su(2)-algebraic many-fermion model is discussed: (1) the BCS-Bogoliubov approach in terms of the use of the quasiparticles representing all the degrees of freedom except those related to the Cooper-pairs and (2) the conventional algebraic approach in terms of the use of the minimum weight states, from which the Cooper-pairs are excluded. In order to arrive at the goal, the idea of the quasiparticles is brought up in the conservation of the fermion number. Under the c-number replacement for the three su(2)-generators, the quasiparticles suggested in this paper are reduced to those in the BCS-Bogoliubov approach. It is also shown that the two approaches are equivalent through the c-number replacement. Further, a certain modification of the BCS-Bogoliubov approach is discussed.

引用

页码：693 / 715

页数：23