Published March 26, 1999 | Version v1
Journal article

Bethe equations 'on the wrong side of the equator'

  • 1. International Solvay Institute, Brussels (Belgium)
  • 2. Institute for High Energy Physics, Protvino (Russian Federation)

Description

We analyse Baxter's famous T-Q equations for the XXX (XXZ) spin chain and show that, apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe ansatz equations, there also exists a second solution which should correspond to the Bethe ansatz beyond N/2. This second solution of Baxter's equation plays an essential role and together with the first one gives rise to all fusion relations. (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
32
Journal Issue
12
Journal Page Range
p. 2333-2340
ISSN
0305-4470

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
32048174
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BETHE-GOLDSTONE EQUATION; NUCLEAR REACTIONS; POLYNOMIALS; SPIN; THERMONUCLEAR REACTIONS
Descriptors DEC
ANGULAR MOMENTUM; EQUATIONS; FUNCTIONS; NUCLEAR REACTIONS; NUCLEOSYNTHESIS; PARTICLE PROPERTIES; SYNTHESIS