An-1 Gaudin model with generic open boundaries

Accession number;05A0924046
Title;An-1 Gaudin model with generic open boundaries
Author; YANG WEN-LI (Northwest Univ., Xian, Chn) YANG WEN-LI (Univ. Queensland, Qld, Aus) ZHANG YAO-ZHONG (Univ. Queensland, Qld, Aus) SASAKI RYU (Kyoto Univ., Kyoto, Jpn)
Journal Title;YITP
Journal Code:L0911B
ISSN:
VOL.;NO.05-37;PAGE.22P(2005)
Figure&Table&Reference;REF.32
Pub. Country;Japan
Language;English
Abstract;The Gaudin type models constituting an important class of 1d many-body systems with long-range interaction are considered. For the An-1 Gaudin model with generic integrable boundaries specified by non-diagonal K-matrices, the generalized Gaudin operators are constructed. The pseudo-vacuum state is derived, and the commuting families of these operators are diagonalized simultaneously by the algebraic Bethe ansatz method. The eigenvalues are calculated and the corresponding Bethe ansatz equations are derived.