Results 11 to 20 of about 7,086 (290)
On linear matrix differential equations
Advances in Applied Mathematics, 2007 We use elementary methods and operator identities to solve linear matrix differential equations and we obtain explicit formulas for the exponential of a matrix. We also give explicit constructions of solutions of scalar homogeneous equations with certain
L. Verde-Star
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Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators [PDF]
, 1982 ©1982 American Institute of Physics.Trace identities arising in the scattering theory of one-dimensional matrix Schrodinger operators are deduced. They derive from the properties of an asymptotic expansion of the trace of the resolvent kernel in inverse ...
L. Alonso, E. Olmedilla
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Some matrix factorization identities for discrete inverse scattering
, 1986 This note analyzes the relationships between several inverse-scattering methods and points out that all classical approaches implicitly construct a (lower-upper) triangular factorization of a given positive definite Toeplitz matrix.
A. Bruckstein, T. Kailath
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Sobolev-type regularity and Pohozaev-type identities for some degenerate and singular problems [PDF]
Rendiconti Lincei - Matematica e Applicazioni, 2022 on the bottom of a half (N + 1)-dimensional ball. The interest in such a type of equations and related regularity issues has developed starting from the pioneering paper [7], proving local Hölder continuity results and Harnack’s inequalities, and has ...
V. Felli, Giovanni Siclari
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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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Matrix Capelli identities related to reflection equation algebra
Journal of Geometry and Physics, 2022 By using the notion of a quantum double we introduce analogs of partial derivatives on a Reflection Equation algebra, associated with a Hecke symmetry of GL(N) type. We construct the matrix L=MD, where M is the generating matrix of the Reflection Equation algebra and D is the matrix composed of the quantum partial derivatives and prove that the ...
Dimitri Gurevich +2 more
openaire +3 more sources
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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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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Exact surface energy of the D2(1) spin chain with generic non-diagonal boundary reflections
Nuclear Physics B, 2022 The exact solution of the D2(1) quantum spin chain with generic non-diagonal boundary reflections is obtained. It is found that the generating functional of conserved quantities of the system can be factorized as the product of transfer matrices of two ...
Guang-Liang Li +5 more
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