A class of integrals associated with the Bethe ansatz

Authors
Glasser, ML Boersma, J
Citation
Ml. Glasser et J. Boersma, A class of integrals associated with the Bethe ansatz, J PHYS A, 32(47), 1999, pp. 8261-8264
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
47
Year of publication
1999
Pages
8261 - 8264
Database
ISI
SICI code
0305-4470(19991126)32:47<8261:ACOIAW>2.0.ZU;2-A
Abstract
A method is described for evaluating integrals of the form integral(0)(infinity) sech (pi x/2 mu) ln [cosh x - cos(m mu)/cosh x - cos( n mu)]dx which arise in treating certain statistical mechanical models by means of t he Bethe ansatz (quantum inverse scattering) technique. We specify which in tegrals of this class can be expressed in closed form, along with their val ues and evaluate some generalizations.