GL/sub 3/-invariant solutions of the Yang-Baxter equation and associated quantum systems

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · J. Okla. State Med. Assoc.; (United States)

OSTI ID:6895748

Kulish, P P; Reshetikin, N Y

GL/sub 3/-invariant, finite-dimensional solutions of the Yang-Baxter equations acting in the tensor product of two irreducible representations of the group GL/sub 3/ are investigated. A number of relations are obtained for the transfer matrices which demonstrate the connection of representation theory and the Bethe Ansatz in GL/sub 3/invariant models. Some of the most interesting quantum and classical integrable systems connected with GL/sub 3/-invariant solutions of the Yang-Baxter equation are presented.

• OSTI ID: 6895748
• Journal Information: J. Okla. State Med. Assoc.; (United States), Journal Name: J. Okla. State Med. Assoc.; (United States) Vol. 34:5; ISSN JOSMA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GRADED LIE GROUPS
INVARIANCE PRINCIPLES
INVERSE SCATTERING PROBLEM
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
SCHROEDINGER EQUATION
SYMMETRY GROUPS
TENSORS
WAVE EQUATIONS