Published February 21, 1997 | Version v1
Journal article

Completeness of Bethe's states for the generalized XXZ model

  • 1. Steklov Mathematical Institute, St. Petersburg (Russian Federation)
  • 2. St. Petersburg Institute of Aviation Instruments, St. Petersburg (Russian Federation)

Description

We study the Bethe ansatz equations for a generalized XXZ model on a one-dimensional lattice. Assuming the string conjecture we propose an integer version for vacancy numbers and prove a combinatorial completeness of Bethe's states for a generalized XXZ model. We find an exact form for the inverse matrix related with vacancy numbers and compute its determinant. This inverse matrix has a tridiagonal form, generalizing the Cartan matrix of type A. (author)

Availability note (English)

Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and General
Journal Volume
30
Journal Issue
4
Journal Page Range
p. 1209-1226
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
Ecuador
INIS RN
33008395
Subject category
S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
Descriptors DEI
ELECTRONIC STRUCTURE; EQUATIONS; HEISENBERG MODEL; ONE-DIMENSIONAL CALCULATIONS; VACANCIES
Descriptors DEC
CRYSTAL DEFECTS; CRYSTAL MODELS; CRYSTAL STRUCTURE; MATHEMATICAL MODELS; POINT DEFECTS