Results 141 to 150 of about 2,376,589 (173)

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

Selecta Mathematica, New Series, 2021
Slaven Kozic
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The R-matrix of the quantum toroidal algebra

Kyoto Journal of Mathematics, 2023
Andrei Negut
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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
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
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A twisted quantum toroidal algebra

Frontiers of Mathematics in China, 2013
Naihuan Jing
exaly  

Bases of the quantum cluster algebra of the Kronecker quiver

Acta Mathematica Sinica, English Series, 2011
Fan Xu
exaly