Published 2011 | Version v1
Journal article

Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions

  • 1. Instituto Nazionale di Fisica Nucleare, Sezione di Bologna, Bologna (Italy)
  • 2. Laboratoire de Physique Theorique LAPTH, UMR 5108 du CNRS, associee a l'Universite de Savoie, Annecy-le-Vieux Cedex (France)

Description

In this proceeding we present the nested Bethe ansatz for open spin chains of XXX-type, with arbitrary representations (i.e., 'spins') on each site of the chain and diagonal boundary matrices (K+(u), K-(u). The nested Bethe ansatz applies for a general K-(u), but a particular form of the K+(u) matrix. We give the eigenvalues, Bethe equations and the form of the Bethe vectors for the corresponding models. The Bethe vectors are expressed using a trace formula

Availability note (English)

Available online: http://www1.jinr.ru/Pepan_letters/panl_2011_3/06_bell.pdf

Additional details

Publishing Information

Journal Title
Pis'ma v Zhurnal 'Fizika Ehlementarnykh Chastits i Atomnogo Yadra'
Journal Volume
8
Journal Issue
3/166
Journal Page Range
p. 369-384
ISSN
1814-5957

Conference

Title
International workshop 'Supersymmetries and Quantum Symmetries
Acronym
SQS'09
Dates
29 Jul - 3 Aug 2009
Place
Dubna (Russian Federation)

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
42107452
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ALGEBRA; BETHE-GOLDSTONE EQUATION; BOUNDARY CONDITIONS; COMMUTATION RELATIONS; EIGENVALUES; R MATRIX; SPIN; VECTORS; WEIGHTING FUNCTIONS
Descriptors DEC
ANGULAR MOMENTUM; EQUATIONS; FUNCTIONS; MATHEMATICS; MATRICES; PARTICLE PROPERTIES; TENSORS

Optional Information

Notes
19 refs.