Results 101 to 110 of about 2,642 (197)

Applications of the product formula for the universal R-matrix of quantum affine algebra to mathematical physics

open access: yesApplications of the product formula for the universal R-matrix of quantum affine algebra to mathematical physics
博士学位論文 (Thesis(doctor))
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GaoZheng G-Framework and GaoZheng G-Algebra: Applied Mathematics Volume I — Law-Space Geometry, GRL, Quantum Computing, and Superconductivity

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This first applied-mathematics applications volume (Applied Mathematics Volume I) is structurally independent from the pure mathematics volume but conceptually based on the same integrated construction. The pure mathematics volume develops a law-space geometry and a principal-bundle-based generalized noncommutative Lie algebra that treat "laws ...
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Mathematical Physics Algebraic Topology High Energy Physics — Theory Quantum Physics. Energy Hierarchy Factor in TVS23

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We resolve the century-old atomic stability paradox without quantization postulates. The electron is a static topological knot of 24 nodes in the structured vacuum V₂₃, not an orbiting particle. The key result is an exact energy hierarchy derived from x³ − x − 1 = 0: the vacuum zero-point energy E_vac = αm_ec²/2 = 1864.47 eV exceeds the ionization ...
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Algebras, Representations and Quantum Mechanics(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)

open access: yesAlgebras, Representations and Quantum Mechanics(6) Approaches from mathematical science and quantum information, Chaos and Nonlinear Dynamics in Quantum-Mechanical and Macroscopic Systems)
可積分性という概念は古典力学では明確に定義されているが,量子力学における対応概念は不明瞭である.また,古典力学との対応を求めず,量子力学のハイゼンベルグ方程式を解くという目的に限定しても,作用角変数に匹敵するような強力かつ柔軟な方法論の構築が望ましい.本講演ではこれらの問題点を指摘し,解決の糸口を代数の表現論による多様体上の量子力学の定式化に探ってみた. この論文は国立情報学研究所の電子図書館事業により電子化されました。
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Mathematical Formalism of Context-Aware Deficit Algebra (CADA): Geometric Derivation of Quantum Anomalies via Vacuum Stress Saturation

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The core axiom of this framework is that the vacuum has a finite structural capacity for energy density (derived from the Planck limit). Interactions are modeled not as linear superposition, but as non-linear saturation events using the rule: -phi (x) -phi -> P_max.
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