Results 151 to 160 of about 1,345 (175)
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Yang–Baxter equation in median algebras
Rendiconti Del Circolo Matematico Di Palermo, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arsham Borumand Saeid +2 more
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SOLUTIONS OF THE YANG-BAXTER EQUATION
Journal of Soviet Mathematics, 1982We give the basic definitions connected with the Yang-Baxter equation (factorization condition for a multiparticle S-matrix) and formulate the problem of classifying its solutions. We list the known methods of solution of the Y-B equation, and also various applications of this equation to the theory of completely integrable quantum and classical ...
Kulish, P. P., Sklyanin, E. K.
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Yang–Baxter equations and quantum entanglements
Quantum Information Processing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mo-Lin Ge +3 more
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YANG–BAXTER EQUATIONS IN QUANTUM INFORMATION
International Journal of Modern Physics B, 2012The connection between Yang–Baxter system and quantum information has been discussed. Based on the topological basis for both Temperley–Lieb (TL) algebra and Birman–Wenzl (BW) algebra the representations of N by N braiding matrices associated with the corresponding N2 by N2 ones are obtained.
Ge, Mo-Lin, Xue, Kang
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MAGNETIC MONOPOLES AND THE YANG-BAXTER EQUATIONS
International Journal of Modern Physics A, 1991A comparison is made between the new solutions of the Yang-Baxter equations, arising from curves of higher genus, and magnetic monopoles of higher charge. It is shown that essentially the same algebraic curves arise in both cases, and this leads to speculations about possibly more general solutions of the Yang-Baxter equations.
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THE YANG-BAXTER EQUATION IN KNOT THEORY
International Journal of Modern Physics B, 1993The role played by the Yang-Baxter equation in generating knot invariants using the method of statistical mechanics is reexamined and elucidated. The formulation of knot invariants is made precise with the introduction of piecewise-linear lattices and enhanced vertex and interaction-round-a-face (IRF) models with strictly local weights.
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2018
Let \(F\) be a linear space, \(R:F\otimes F\rightarrow F\otimes F\) an invertible linear map. It is well known that if \(R=S_{(12)}:f_1\otimes f_2 \mapsto f_2 \otimes f_1\), then one can define a representation of the symmetric group \({{\mathrm{S}}}_n\) on \(F^{\otimes n}\) by the following prescription: represent each element \(\sigma \in {{\mathrm{S}
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Let \(F\) be a linear space, \(R:F\otimes F\rightarrow F\otimes F\) an invertible linear map. It is well known that if \(R=S_{(12)}:f_1\otimes f_2 \mapsto f_2 \otimes f_1\), then one can define a representation of the symmetric group \({{\mathrm{S}}}_n\) on \(F^{\otimes n}\) by the following prescription: represent each element \(\sigma \in {{\mathrm{S}
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Rota—Baxter groups, skew left braces, and the Yang—Baxter equation
Journal of Algebra, 2022Vsevolod Gubarev +1 more
exaly
Yang-Baxter Equation for the R-Matrix of the One-Dimensional Hubbard Model
Journal of the Physical Society of Japan, 1995Wadati Miki, Masahiro Shiroishi
exaly
Zeroing neural network methods for solving the Yang-Baxter-like matrix equation
Neurocomputing, 2020Huamin Zhang, Lijuan Wan
exaly