Results 111 to 120 of about 1,304 (144)

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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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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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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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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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  

The Non-Toric $$U_{q}(sl_{2})$$-Symmetries on Quantum Polynomial Algebra $$k_{q}[x^{\pm 1},y]$$

Bulletin of the Iranian Mathematical Society, 2023
Libin Li, Li Libin
exaly  

An Online Calculator for Quantum Computing Operations Based on Geometric Algebra

Advances in Applied Clifford Algebras, 2021
Rafael Alves, Dietmar Hildenbrand, Carlile Lavor   +2 more
exaly  

Teaching knowledge and difficulties of In-field and Out-of-field Junior High School mathematics teachers in algebra

Cogent Education, 2023
Douglas D Agyei, Williams Osei
exaly