Published February 10, 2012 | Version v1
Journal article

O(N)-matrix difference equations and a nested Bethe ansatz

  • 1. Yerevan Physics Institute, Alikhanian Brothers 2, Yerevan, 375036 Armenia (Armenia)
  • 2. Instituto de Física da UFRGS, Av. Bento Gonçalves 9500, Porto Alegre, RS (Brazil)
  • 3. Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin (Germany)

Description

A system of O(N)-matrix difference equations is solved by means of the off-shell version of the nested algebraic Bethe ansatz. In the nesting process, a new object, the Π-matrix, is introduced to overcome the complexities of the O(N)-group structure. The highest weight property of the solutions is proved and some explicit examples are discussed. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/45/5/055207

Additional details

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
45
Journal Issue
5
Journal Page Range
[22 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43101410
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
EQUATIONS; MATHEMATICAL EVOLUTION; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; MATRICES
Descriptors DEC
EVOLUTION