Results 11 to 20 of about 297 (147)
Nuclear Physics B, 2021 In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2)⊗gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two
T. Skrypnyk, N. Manojlović
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
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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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Conics from the Cartan Decomposition of SO(2,1)
Mathematics, 2023 The aim of this paper is to introduce and study the class of conics provided by the symmetric matrices of the Cartan decomposition of the Lie group SO(2,1).
Mircea Crasmareanu
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Wargaming with Quadratic Forms and Brauer Configuration Algebras
Mathematics, 2022 Recently, Postnikov introduced Bert Kostant’s game to build the maximal positive root associated with the quadratic form of a simple graph. This result, and some other games based on Cartan matrices, give a new version of Gabriel’s theorem regarding ...
Agustín Moreno Cañadas +2 more
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Geometrizing non-relativistic bilinear deformations
Journal of High Energy Physics, 2021 We define three fundamental solvable bilinear deformations for any massive non-relativistic 2d quantum field theory (QFT). They include the T T ¯ $$ \mathrm{T}\overline{\mathrm{T}} $$ deformation and the recently introduced hard rod deformation.
Dennis Hansen, Yunfeng Jiang, Jiuci Xu
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Wearable and Implantable Devices for Continuous Monitoring of Muscle Physiological Activity: A Review. [PDF]
Adv Sci (Weinh)Recent advances in materials and device engineering enable continuous, real‐time monitoring of muscle activity via wearable and implantable systems. This review critically summarizes emerging technologies for tracking electrophysiological, biomechanical, and oxygenation signals, outlines fundamental principles, and highlights key challenges and ...
Liao Z +4 more
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Gaudin-type models, non-skew-symmetric classical r-matrices and nested Bethe ansatz
Nuclear Physics B, 2015 We consider quantum integrable systems associated with the Lie algebra gl(n) and Cartan-invariant non-dynamical non-skew-symmetric classical r-matrices.
T. Skrypnyk
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Cartan matrices and Brauer's k(B)-conjecture V
Journal of Algebra, 2022 26 pages, 4 tables, many matrices :-)
Cesare Giulio Ardito, Benjamin Sambale
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CARTAN CALCULUS VIA PAULI MATRICES [PDF]
International Journal of Modern Physics A, 2003 In this paper we will provide a new operatorial counterpart of the path-integral formalism of classical mechanics developed in recent years. We call it new because the Jacobi fields and forms will be realized via finite dimensional matrices. As a byproduct of this we will prove that all the operations of the Cartan calculus, such as the exterior ...
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