Results 161 to 170 of about 2,642 (197)

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
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Algebras of unbounded operators and vacuum superselection rules in quantum field theory

Theoretical and Mathematical Physics, 1984
The algebraic structure of quantum-field systems with vacuum superselection rules is analyzed in the framework of Wightman axiomatics on the basis of the mathematical formalism developed in Part I [ibid. 59, 28-48 (1984; Zbl 0559.47033)]. Two main theorems are obtained.
Voronin, A. V., Sushko, V. N., Khoruzhij, S. S.   +2 more
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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 ...
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Mathematical Modelling of Quantum Information Systems Using Operator Algebra Techniques

International Journal of Mathematical Analysis and Research
Quantum information theory has become a central area in the two fields of quantum mechanics and information science. The focus of this work is mathematical modelling of quantum information with the use of operator algebras, in a way that accentuates the modelling, and acting or manipulation of observables and quantum states.
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Fundamental Mathematical Structures of Quantum Theory

2019
This textbook presents in a concise and self-contained way the advanced fundamental mathematical structures in quantum theory. It is based on lectures prepared for a 6 months course for MSc students. The reader is introduced to the beautiful interconnection between logic, lattice theory, general probability theory, and general spectral theory including
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

The present book grew from lecture notes we have written for participants of lectures on applications of C^{∗}-algebra theory to the foundations of quantum statistical mechanics, as well as a mini-course on thermodynamic equilibrium of quantum lattice systems with mean-field interactions, we held at the Institute of Physics of the University of São ...
Bru, J.-B., de Siqueira Pedra, W.
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Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation

2017
This book discusses the mathematical foundations of quantum theories. It offers an introductory text on linear functional analysis with a focus on Hilbert spaces, highlighting the spectral theory features that are relevant in physics. After exploring physical phenomenology, it then turns its attention to the formal and logical aspects of the theory ...
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C*-Algebras and Mathematical Foundations of Quantum Statistical Mechanics

2023
Jean-Bernard Bru, Walter Alberto de Siqueira Pedra   +1 more
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The R-matrix of the quantum toroidal algebra

Kyoto Journal of Mathematics, 2023
Andrei Negut
exaly  

On the quantum affine vertex algebra associated with trigonometric R-matrix

Selecta Mathematica, New Series, 2021
Slaven Kozic, Kozic Slaven
exaly