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Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras [PDF]
A new result is added (Theor.22}, reference list was updated, misprints were corrected, some parts of presentation are given in more detailed ...
Gurevich, Dimitri +2 more
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A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity
Linear Algebra and its Applications, 2004 Many problems in systems and control theory require the solution of Sylvester's equation \(AX-YB=C\) or of its generalization \((*)\) \(AXB+CYD=E\). The author studies the couple of matrix equations \((**)\) \(A_1XB_1=C_1,A_2XB_2=C_2\) over an arbitrary regular ring with identity.
Qing‐Wen Wang
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AGT correspondence, (q-)Painlevè equations and matrix models
Nuclear Physics B, 2022 Painlevè equation for conformal blocks is a combined corollary of integrability and Ward identities, which can be explicitly revealed in the matrix model realization of AGT relations.
A. Mironov +3 more
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Exact solution of the q-deformed D3(1) vertex model with open boundaries
Nuclear Physics B, 2023 In this paper, we study the exact solution of the q-deformed D3(1) quantum lattice model with non-diagonal open boundary condition. We demonstrate the crossing symmetry of the transfer matrix and obtain the quantum determinant.
Guang-Liang Li +3 more
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Investigation of Matrices Q^(n._L ), M^(n._L ) and R^(n._L ) and Some Related Identities
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this study, it is aimed to use the Lorenz matrix multiplication to find the n^th powers of some special matrices and to reach the quadratic equations and characteristic roots of the matrices obtained in this way. In addition, it is aimed to contribute
Ali Hikmet Değer, İbrahim Gökcan
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TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder
Mathematics, 2023 The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the ...
Garnik V. Abgaryan, Yury V. Shestopalov
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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Inversion identities for inhomogeneous face models
Nuclear Physics B, 2014 We derive exact inversion identities satisfied by the transfer matrix of inhomogeneous interaction-round-a-face (IRF) models with arbitrary boundary conditions using the underlying integrable structure and crossing properties of the local Boltzmann ...
Holger Frahm, Nikos Karaiskos
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