Published June 24, 2005
| Version v1
Journal article
Solutions of the Gaudin equation and Gaudin algebras
Creators
- 1. Department of Physics, University of Wisconsin, Madison, Wisconsin 53706 (United States)
- 2. Department of Physics, Koc University, 34450 Sariyer, Istanbul (Turkey)
- 3. Department of Mathematics, Izmir University of Economics, 35330 Izmir (Turkey)
Description
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
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/5697/a5_25_007.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/5697/a5_25_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/25/007;
- PII
- S0305-4470(05)98103-1;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 25
- Journal Page Range
- p. 5697-5707
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36095805
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S73: NUCLEAR PHYSICS AND RADIATION PHYSICS; S75: CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY;
- Descriptors DEI
- ALGEBRA; EQUATIONS; HAMILTONIANS; LIE GROUPS; MATHEMATICAL SOLUTIONS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SYMMETRY GROUPS