Solutions of the Gaudin Equation and Gaudin Algebras
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Date
2005-06-08
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Iop Publishing Ltd
Open Access Color
BRONZE
Green Open Access
Yes
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Publicly Funded
No
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Average
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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.
Description
Keywords
Models, Nuclear Theory, Strongly Correlated Electrons (cond-mat.str-el), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, BCS model, Mathematical Physics (math-ph), Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Gaudin algebra, Nuclear Theory (nucl-th), Condensed Matter - Strongly Correlated Electrons, algebraic Bethe ansatz, Gaudin equation, Exactly solvable models; Bethe ansatz, Mathematical Physics
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
WoS Q
Scopus Q
N/A
OpenCitations Citation Count
10
Source
Journal of Physıcs A-Mathematıcal And General
Volume
38
Issue
25
Start Page
5697
End Page
5707
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Citations
CrossRef : 7
Scopus : 12
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Mendeley Readers : 5
SCOPUS™ Citations
12
checked on May 01, 2026
Web of Science™ Citations
11
checked on May 01, 2026
Page Views
3
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Downloads
20
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