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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)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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Matrix Quantum Mechanics and Entanglement Entropy: A Review. [PDF]
Entropy (Basel)Fliss JR, Frenkel A.
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Higher rank partial and false theta functions and representation theory
, 2017 Creutzig, T., Milas, A.
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Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
MethodsXDevadas RM +5 more
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Modeling and analysis of stochastic quantum magnetohydrodynamics equations with energy estimates. [PDF]
Sci RepDivyabala K, Durga N.
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Compatibility of Drinfeld presentations for split affine Kac-Moody quantum symmetric pairs. [PDF]
Lett Math PhysLi JR, Przeździecki T.
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Arrow of Time in Quantum Mechanics and Set Theory. [PDF]
Entropy (Basel)Król J.
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Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux. [PDF]
J Algebr Comb (Dordr)Early N, Li JR.
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Applications 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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Born's Rule from Contextual Relative-Entropy Minimization. [PDF]
Entropy (Basel)Zaghi A.
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