Publication: Solutions of the gaudin equation and gaudin algebras
Program
KU-Authors
KU Authors
Co-Authors
Balantekin, AB
Pehlivan, Y
Advisor
Publication Date
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Abstract
Three well-known solutions of the Gaudin equation are obtained under a set of standard assumptions. By relaxing one of these assumptions, we introduce a class of mutually commuting Hamiltonians based on a different solution of the Gaudin equation. Application of the algebraic Bethe ansatz technique to diagonalize these Hamiltonians reveals a new infinite-dimensional complex Lie algebra.
Source:
Journal of Physics A: Mathematical and General
Publisher:
Iop Publishing Ltd
Keywords:
Subject
Physics, Mathematical