1206.1644 (Y. Tsue et al.)

The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model
in Many-Fermion System    [PDF]

Y. Tsue, C. Providencia, J. da Providencia, M. Yamamura

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.

View original: http://arxiv.org/abs/1206.1644