MULTIPARTICLE FERMIONIC REALIZATION OF THE SU(2) LIE-ALGEBRA

Authors
LO CF
Citation
Cf. Lo, MULTIPARTICLE FERMIONIC REALIZATION OF THE SU(2) LIE-ALGEBRA, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 112(6), 1997, pp. 937-940
Citations number
11
Categorie Soggetti
Physics
Journal title
Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics → ACNP
ISSN journal
11241888
Volume
112
Issue
6
Year of publication
1997
Pages
937 - 940
Database
ISI
SICI code
1124-1888(1997)112:6<937:MFROTS>2.0.ZU;2-A
Abstract
We have constructed the multi-particle fermionic realization of the su (2) Lie algebra. It is observed that the unitary displacement operator can be identified as the operator which induces the generalized multi -particle fermionic Bogoliubov transformation. We have also shown that the eta-pairing algebra of the Hubbard model on a bipartite lattice i s, in fact, a special case of this multi-particle fermionic representa tion.