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Journal of Algebra, ISSN 0021-8693, 08/2016, Volume 460, pp. 1 - 25
...–Baxter operators of any weights and twisted Rota–Baxter operators are solutions of the proposed system... 
Dendriform algebra | Covariant bialgebra | Yang–Baxter equation | Rota–Baxter system | Rota-Baxter system | Yang-Baxter equation | MATHEMATICS | FROBENIUS ALGEBRAS | Algebra
Journal Article
Nuclear physics. B, ISSN 0550-3213, 2020, Volume 951, p. 114878
...) extensions of Yang-Baxter maps together with their associated systems of PΔEs, based on the ideas presented in [15... 
EQUATIONS | BACKLUND-DARBOUX TRANSFORMATIONS | YANG-BAXTER MAPS | DISCRETE | HIERARCHY | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2020, Volume 53, Issue 3, p. 035203
Symmetries play important roles in physical systems. We study the symmetries of a Hamiltonian system by investigating the asymmetry of the Hamiltonian with respect to certain algebras... 
YANG-BAXTER EQUATION | integrable spin chain | QUANTUM Q-DEFORMATIONS | SUQ,H | ANALOG | PHYSICS, MULTIDISCIPLINARY | SYMPLECTIC-GEOMETRY | SU ALGEBRA | asymmetry degree of Hamiltonian systems | quantum harmonic and deformed harmonic systems | PHYSICS, MATHEMATICAL
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 38, p. 385203
Integrable discrete scalar equations defined on a 2D or 3D lattice can be rewritten as difference systems in bond variables or in face variables, respectively... 
simplex equations | difference substitutions | discrete integrable systems | ALGEBRAS | YANG-BAXTER MAPS | MODELS | PHYSICS, MULTIDISCIPLINARY | EQUATIONS | CLASSIFICATION | PHYSICS, MATHEMATICAL | GEOMETRY | SURFACES | Physics - Exactly Solvable and Integrable Systems
Journal Article
Quantum Information Processing, ISSN 1570-0755, 1/2017, Volume 16, Issue 1, pp. 1 - 9
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2011, Volume 844, Issue 1, pp. 129 - 145
We study an exactly solvable model of D ( D 3 ) non-Abelian anyons on a one-dimensional lattice with a free coupling parameter in the Hamiltonian. For certain... 
Bethe ansatz | Yang–Baxter equation | Drinfeld double | Yang-Baxter equation | ENERGY | POTTS | QUANTUM COMPUTATION | CHAINS | MODEL | TRIANGLE RELATIONS | PHYSICS, PARTICLES & FIELDS
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 06/2017, Volume 58, Issue 6
Admissible structure constants related to the dual Lie superalgebras of particular Lie superalgebra (C-3 + A) are found by straightforward calculations from... 
YANG-BAXTER EQUATION | CLASSIFICATION | ALGEBRAS | QUANTIZATION | PHYSICS, MATHEMATICAL | BIALGEBRAS
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 9/2017, Volume 2017, Issue 9, pp. 1 - 34
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 02/2014, Volume 470, Issue 2162, pp. 20130550 - 20130550
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2015, Volume 336, Issue 1, pp. 199 - 215
Pluri-Lagrangian systems are variational systems with the multi-dimensional consistency property... 
FORMULATION | PHYSICS, MATHEMATICAL | YANG-BAXTER EQUATION
Journal Article
International Journal of Theoretical Physics, ISSN 0020-7748, 3/2017, Volume 56, Issue 3, pp. 643 - 651
.... It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. 
Quantum entanglement | Theoretical, Mathematical and Computational Physics | Berry phase | Quantum Physics | Physics, general | GHZ state | Physics | Elementary Particles, Quantum Field Theory | YANG-BAXTER EQUATION | PHYSICS, MULTIDISCIPLINARY | DIMENSION | QUANTUM GATES
Journal Article
Reviews in Mathematical Physics, ISSN 0129-055X, 07/2019, Volume 31, Issue 6, p. 1930002
.... We show that both approaches provide explicit formulae for M -matrices of the integrable systems in terms of the intertwining matrices... 
Lax equations | Many-body integrable systems | IRF-Vertex correspondence | YANG-BAXTER EQUATION | R-MATRIX | C-N | CLEBSCH-GORDAN SERIES | QUANTUM | CALOGERO-MOSER SYSTEMS | PHYSICS, MATHEMATICAL | ELLIPTIC SOLUTIONS | MODULI | SOLVABLE LATTICE MODELS | HOLOMORPHIC BUNDLES
Journal Article
Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 31, p. 315202
Journal Article
Journal of statistical physics, ISSN 1572-9613, 2013, Volume 150, Issue 4, pp. 704 - 721
We consider the problem of defining quantum integrability in systems with finite number of energy levels starting from commuting matrices and construct new general classes of such matrix models... 
Energy level statistic | Physical Chemistry | Integrability | Theoretical, Mathematical and Computational Physics | Dynamical conservation laws | Quantum Physics | Yang Baxter | Statistical Physics, Dynamical Systems and Complexity | Physics | HUBBARD | MODEL | PHYSICS, MATHEMATICAL
Journal Article
理论物理通讯:英文版, ISSN 0253-6102, 2014, Volume 61, Issue 3, pp. 349 - 353
Quantum correlations among parts of a composite quantum system are a fundamental resource for several applications in quantum information... 
解析表达式 | 密度矩阵 | 量子比特 | 方程构造 | 量子关联 | 系统部件 | 应用程序 | 和谐 | quantum correlations | quantum discord | Yang-Baxter equation | MATRIX | PHYSICS, MULTIDISCIPLINARY | BERRY PHASE
Journal Article
1989, ISBN 9789810201203, Volume 10., x, 715
Book
Journal of Nonlinear Mathematical Physics: Local and Nonlocal Symmetries in Mathematical Physics. Editors: Norbert Euler and Enrique G. Reyes, ISSN 1402-9251, 12/2017, Volume 24, Issue sup1, pp. 121 - 145
We analyze the relation of the notion of a pluri-Lagrangian system, which recently emerged in the theory of integrable systems, to the classical notion of variational symmetry, due to E. Noether... 
pluri-Lagrangian structure | integrable system | Lagrangian system | variational symmetry | Noether theorem | YANG-BAXTER EQUATION | MATHEMATICS, APPLIED | HYDROGEN-ATOM | FORMULATION | PHYSICS, MATHEMATICAL | LATTICE
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 11/2016, Volume 12
Journal Article