Results 1 to 10 of about 6,635,178 (304)
Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation
Results in Physics, 2023 The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
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Determinant form of correlators in high rank integrable spin chains via separation of variables [PDF]
Journal of High Energy Physics, 2021 In this paper we take further steps towards developing the separation of variables program for integrable spin chains with gl N $$ \mathfrak{gl}(N) $$ symmetry.
Nikolay Gromov +2 more
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Evaluation of a Special Hankel Determinant of Binomial Coefficients [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 This paper makes use of the recently introduced technique of $\gamma$-operators to evaluate the Hankel determinant with binomial coefficient entries $a_k = (3 k)! / (2k)! k!$. We actually evaluate the determinant of a class of polynomials $a_k(x)$ having
Ömer Eugeciouglu +2 more
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An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials
Mathematics, 2023 In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani +6 more
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Degenerate 2D bivariate Appell polynomials: properties and applications
Applied Mathematics in Science and Engineering, 2023 The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable.
Shahid Ahmad Wani +2 more
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Quantum determinants in ribbon category [PDF]
Categories and General Algebraic Structures with Applications, 2022 The aim of this paper is to introduce an abstract notion of determinant which we call quantum determinant, verifying the properties of the classical one.
Hanan Choulli +2 more
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Mokslas: Lietuvos Ateitis, 2015 The article reviews the influence of cutting rates on macrogeometry deflection of milling complex form products and turning an outside surface. For that purpose, one of the most popular aluminium alloys 6082 has been chosen.
Ieva Švagždytė, Mindaugas Jurevičius
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Analytic thin wall false vacuum decay rate
Journal of High Energy Physics, 2022 We derive a closed-form false vacuum decay rate at one loop in the thin wall limit, where the true and false vacua are nearly degenerate. We obtain the bounce configuration in D dimensions, together with the Euclidean action with a higher order ...
Aleksandar Ivanov +3 more
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Three-point functions in ABJM and Bethe Ansatz
Journal of High Energy Physics, 2022 We develop an integrability-based framework to compute structure constants of two sub-determinant operators and a single-trace non-BPS operator in ABJM theory in the planar limit. In this first paper, we study them at weak coupling using a relation to an
Peihe Yang +3 more
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Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
Nuclear Physics B, 2016 We study integrable models solvable by the nested algebraic Bethe ansatz and described by gl(2|1) or gl(1|2) superalgebras. We obtain explicit determinant representations for form factors of the monodromy matrix entries. We show that all form factors are
A. Hutsalyuk +4 more
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