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434
SEPARATION OF VARIABLES AND THE XXZ GAUDIN MAGNET 1
, 1994
"... Abstract. In this work we generalise previous results connecting (rational) Gaudin magnet models and classical separation of variables. It is shown that the connection persists for the case of linear rmatrix algebra which corresponds to the trigonometric 4 × 4 rmatrix (of the XXZ type). We comment ..."
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Abstract. In this work we generalise previous results connecting (rational) Gaudin magnet models and classical separation of variables. It is shown that the connection persists for the case of linear rmatrix algebra which corresponds to the trigonometric 4 × 4 rmatrix (of the XXZ type). We
Gaudin model and opers
 in Infinite Dimensional Algebras and Quantum Integrable Systems, eds. P. Kulish, e.a., Progress in Math. 237
, 2004
"... Abstract. This is a review of our previous works [FFR, F1, F3] (some of them joint with B. Feigin and N. Reshetikhin) on the Gaudin model and opers. We define a commutative subalgebra in the tensor power of the universal enveloping algebra of a simple Lie algebra g. This algebra includes the hamilto ..."
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Cited by 7 (3 self)
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Abstract. This is a review of our previous works [FFR, F1, F3] (some of them joint with B. Feigin and N. Reshetikhin) on the Gaudin model and opers. We define a commutative subalgebra in the tensor power of the universal enveloping algebra of a simple Lie algebra g. This algebra includes
Algebraic extension of Gaudin models
 J. Nonlinear Math. Phys
, 2005
"... Abstract We perform a InönüWigner contraction on Gaudin models, showing how the integrability property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear rmatrix structure. We give a ge ..."
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Cited by 2 (2 self)
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Abstract We perform a InönüWigner contraction on Gaudin models, showing how the integrability property is preserved by this algebraic procedure. Starting from Gaudin models we obtain new integrable chains, that we call Lagrange chains, associated to the same linear rmatrix structure. We give a
GAUDIN SUBALGEBRAS AND WONDERFUL MODELS
, 2014
"... Gaudin hamiltonians form families of rdimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the set of principal Gaudin subalgebras, which is the closure in the appropriate Grassmannian of the set of s ..."
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Gaudin hamiltonians form families of rdimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the set of principal Gaudin subalgebras, which is the closure in the appropriate Grassmannian of the set
The Generalized RichardsonGaudin Models
"... The Pairing Model hamiltonian was solved exactly by Richardson in the sixties. We present here the conditions of integrability for a wider variety of pairing hamiltonians for fermion and boson systems, together with the exact solution for their complete sets of eigenstates. A study of the exact so ..."
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The Pairing Model hamiltonian was solved exactly by Richardson in the sixties. We present here the conditions of integrability for a wider variety of pairing hamiltonians for fermion and boson systems, together with the exact solution for their complete sets of eigenstates. A study of the exact
Quasiparticles in the XXZ model
, 2009
"... The coordinate Bethe ansatz solutions of the XXZ model for a onedimensional spin1/2 chain are analyzed with focus on the statistical properties of the constituent quasiparticles. Emphasis is given to the special cases known as XX, XXX, and Ising models, where considerable simplications occur. The ..."
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The coordinate Bethe ansatz solutions of the XXZ model for a onedimensional spin1/2 chain are analyzed with focus on the statistical properties of the constituent quasiparticles. Emphasis is given to the special cases known as XX, XXX, and Ising models, where considerable simplications occur
Elliptic Gaudin system with spin
, 2001
"... The elliptic Gaudin model was obtained [1, 2] on an elliptic curve with punctures. In the present paper the algebraicgeometrical structure of the system with two fixed points is clarified, the solutions in terms of thetafunctions and the actionangle variables are constructed and the geometry of ..."
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Cited by 1 (0 self)
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The elliptic Gaudin model was obtained [1, 2] on an elliptic curve with punctures. In the present paper the algebraicgeometrical structure of the system with two fixed points is clarified, the solutions in terms of thetafunctions and the actionangle variables are constructed and the geometry
Results 1  10
of
434