Results 101 to 110 of about 230,209 (162)

Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics

Theoretical and Mathematical Physics, 1988
A new and extremely important property of the algebraic structure of symmetries of nonlinear infinite-dimensional integrable Hamiltonian dynamical systems is described. It is shown that their invariance groups are isomorphic to a unique universal Banach Lie group of currents \(G={\mathcal S}\odot Diff(T^ n)\) on an n-dimensional torus \(T^ n ...
N. N. Bogolyubov, A. K. Prikarpatskii
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Quantum Algebras and Poisson Geometry in Mathematical Physics

, 2005
Noncommutative algebras, nanostructures, and quantum dynamics generated by resonances by M. Karasev Algebras with polynomial commutation relations for a quantum particle in electric and magnetic fields by M. Karasev and E. Novikova Poisson structures and linear Euler systems over symplectic manifolds by Y. Vorobjev Poisson equivalence over a symplectic
M. V. Karasev, Maria Shishkova
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Quantum Computing Techniques for Numerical Linear Algebra in Computational Mathematics

Panamerican Mathematical Journal
Quantum computing is a new and exciting area of computational mathematics that has the ability to solve very hard problems that traditional computing methods have not been able to solve for a long time. This abstract goes into detail about how quantum computing can be used in numerical linear algebra, which is an important part of computational ...
Sharada Narsingrao Ohatkar
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Dyson--Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory: An Advanced Mathematical and Physical Analysis

This paper delves into the complex mathematical structures and physical applications underlying the work \textit{Dyson--Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory} by Paul-Hermann Balduf.
Wen-Xiang Chen
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MULTIDIMENSIONAL HYPERGEOMETRIC FUNCTIONS AND REPRESENTATION THEORY OF LIE ALGEBRAS AND QUANTUM GROUPS (Advanced Series in Mathematical Physics 21) [PDF]

Bulletin of the London Mathematical Society, 1997
Shahn Majid
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Quantum groups: A path to current algebra (Australian Mathematical Society Lecture Series 19)

Bulletin of the London Mathematical Society, 2009
Stéphane Launois
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

, 2023
J.-B. Bru, W. de Siqueira Pedra
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Introduction to the Quantum Yang–Baxter Equation and Quantum Groups: An Algebraic Approach. By L. Lambe, D. Radford. 293p., Mathematics and its applications, vol. 423, Kluwer Academic Publishers, Dordrecht, 1997. US$142, ISBN 0 7923 4721 8.

General Relativity and Gravitation, 2000
Hans‐Jürgen Schmidt
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Stochastics, Algebra and Analysis in Classical and Quantum Dynamics

1990
D. Testard, Philippe Blanchard, Sergio Albeverio   +2 more
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Proving Goldbach's Conjecture with Collaborative AI: An Innovative Mathematical Approach Using Topological, Lattice, Algebraic, and Quantum Frameworks

Middle East Journal of Scientific Publishing

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