Results 141 to 150 of about 110,884 (185)

Mathematical aspects of the operator algebraic approach to quantum field theory

2023
Im ersten Kapitel rekonstruieren wir die algebraische Quantentheorie und beweisen Sakais Charakterisierung von von-Neumann-Algebren, wobei wir dem Ansatz von Takesaki und Tomiyama folgen. Im zweiten Kapitel betrecten wir zusätzliche Beschränkungen aus der Relativitäts theorie die Objekte der Quantentheorie fest und untersuchen die Konsequen- zen ...
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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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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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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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Rolandion Algebra as a Mathematically Rigorous Framework for Quantum Gravity

We present Undecion (or Rolandion) Algebra, a mathematically rigorous 11-dimensional algebraic framework designed to bridge quantum mechanics and general relativity. Unlike previous approaches that struggle with mathematical consistency or experimental testability, our framework provides: (1) a precise scale-dependent product that smoothly interpolates
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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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Tetrahedral Hyperdimensional Algebra A New Mathematical Framework for Quantum Consciousness and Space-Time

 This work presents a unified hyperdimensional scientific framework — Tetrahedral Hypergeometry — which models all known phenomena, from quantum mechanics to consciousness, as recursive morphogenetic flows of Clifford-phase structures. Building on classical mathematics, modern physics, and visionary extensions, we propose that reality is a living ...
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