Prog. Theor. Phys. Vol. 127 No. 2 (2012) pp. 303-314

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Note on the Minimum Weight States in the su(2)-Algebraic Many-Fermion Model

— Extension of the Role of the Auxiliary su(2)-Algebra —

Yasuhiko Tsue,¹ Constança Providência,² João da Providência² and Masatoshi Yamamura³

¹Physics Division, Faculty of Science, Kochi University, Kochi 780-8520, Japan
²Departamento de Física, Universidade de Coimbra, 3004-516 Coimbra, Portugal
³Department of Pure and Applied Physics, Faculty of Engineering Science, Kansai University, Suita 564-8680, Japan

(Received December 7, 2011)

Abstract:

The role of the auxiliary su(2)-algebra proposed by the present authors in the latest paper is extended. Its aim is to determine the minimum weight states completely. With the aid of scalar operators for the auxiliary algebra, new aspects are added to the minimum weight states in the aligned scheme discussed in the latest paper. Some simple examples are shown.

Subject Index : 250
URL : http://ptp.ipap.jp/link?PTP/127/303/
DOI : 10.1143/PTP.127.303

References:

Y. Tsue, C. Providência, J. da Providência and M. Yamamura, Prog. Theor. Phys. 127 (2012), 117[PTP].

Citing Article(s) :

Progress of Theoretical Physics Vol. 128 No. 4 (2012) pp. 693-715 :
The BCS-Bogoliubov and the su(2)-Algebraic Approach to the Pairing Model in Many-Fermion System

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura
Progress of Theoretical Physics Vol. 128 No. 4 (2012) pp. 717-726 :
A Role of the Quasiparticle in the Conservation of the Fermion Number

Yasuhiko Tsue, Constança Providência, João da Providência and Masatoshi Yamamura