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We present a new approach to construct the separate variables basis leading to the full characterization of the transfer matrix spectrum of quantum integrable lattice models.
Méthodes mathématiques de la mécanique classique
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L. D. Faddeev and E. K. Sklyanin · 1978
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L. D. Faddeev, E. K. Sklyanin, and L. A. Takhtajan · 1979
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The quantum method of the inverse problem and the Heisenberg XYZ model
L. A. Takhtadzhan and L. D. Faddeev · 1979
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E. K. Sklyanin · 1979
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On complete integrability of the Landau-Lifshitz equation
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P. P. Kulish, N. Yu. Reshetikhin, and E. K. Sklyanin · 1981
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Quantum version of the inverse scattering problem method
E. K. Sklyanin · 1982
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G l 3 Gl_{3} -invariant solutions of the Yang-Baxter equation and associated quantum systems
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O. Babelon, D. Bernard, and F. A. Smirnov · 1996
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Confluent cauchy and cauchy-vandermonde matrices
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Separation of variables for the quantum SL(2, ℝ \mathbb{R} ) spin chain
S. E. Derkachov, G. P. Korchemsky, , and A. N. Manashov · 2003
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Baxter Q-operator and separation of variables for the open SL(2, ℝ \mathbb{R} ) spin chain
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Abstract algebra
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Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms
S. Faldella, N. Kitanine, and G. Niccoli · 2014
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SOV approach for integrable quantum models associated with general representations on spin-1/2 chains of the 8-vertex reflection algebra
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G. von Gehlen, N. Iorgov, S. Pakuliak, and V. Shadura · 2006
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Separation of variables in the open XXX chain
H. Frahm, A. Seel, and T. Wirth · 2008
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E. Mukhin, V. Tarasov, and A. Varchenko · 2009
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Problems with Using Separated Variables for Computing Expectation Values for Higher Ranks
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On determinant representations of scalar products and form factors in the SoV approach: the XXX case
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Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
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