Results 221 to 230 of about 993 (249)

Unifying Topological Quantum Field Theories with Statistical Mechanics: A Framework for Quantum States and Dynamics

International Journal of Academic and Industrial Research Innovations(IJAIRI), 2022
Abstract: This study proposes a unified framework that integrates topological quantum field theories with statistical mechanics to provide a comprehensive understanding of quantum states and dynamics. The problem of reconciling the quantum mechanical description of microscopic systems with macroscopic statistical behavior is addressed by exploring the ...
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Berry's Topological Phase in Quantum Mechanics and Quantum Field Theory

Physica Scripta, 1988
Berry's work on quantum systems described by adiabatically varying Hamiltonians is introduced. Some simple systems exhibiting the "Berry phase" phenomenon are discussed, including: a spin-½ particle in a slowly varying magnetic field, linearly polarised light propagating down a helically wound optical fibre, and dynamic Jahn-Teller E ⊗ systems. The way
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Quantum Field Theory, Statistical Mechanics, Quantum Groups and Topology

Quantum Field Theory, Statistical Mechanics, Quantum Groups and Topology, 1992
Thomas Curtright   +2 more
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The Information-Topological Unified Field Theory: Resolving Gravity, Quantum Mechanics, and Cosmological Expansion via the Hernández-Valdivia Limit

This work is the cosmological generalization of the mathematical framework established in: 'Resolution of the Navier-Stokes Singularity via Topological Discretization of Spacetime' (Hernández-Valdivia, 2025). While the former paper provides the rigorous hydrodynamic proofs, this paper applies the H-V Limit to resolve the unification of Gravity and Dark
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