On the Schwinger boson representation of an extended (M+1)(N+1)-dimensional algebra containing the su(M+1)- and the su(N, 1)-algebra

Authors
Kuriyama, A da Providencia, J Yamamura, M
Citation
A. Kuriyama et al., On the Schwinger boson representation of an extended (M+1)(N+1)-dimensional algebra containing the su(M+1)- and the su(N, 1)-algebra, PROG T PHYS, 103(2), 2000, pp. 285-303
Citations number
26
Categorie Soggetti
Physics
Journal title
PROGRESS OF THEORETICAL PHYSICS
ISSN journal
0033068X → ACNP
Volume
103
Issue
2
Year of publication
2000
Pages
285 - 303
Database
ISI
SICI code
0033-068X(200002)103:2<285:OTSBRO>2.0.ZU;2-L
Abstract
With the aim of describing statistically mixed states in realistic many-bod y systems, the su(n)- and the su(n, 1)-algebra in the Schwinger boson repre sentation are presented in a form generalized from the su(2)- and the su(1, 1)-algebra. The generators of the two algebras are expressed in terms of c ertain bilinear forms for boson operators. Some concrete examples are discu ssed in detail.