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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。
openaire  

A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits. [PDF]

open access: yesNat Commun
Ragone M   +6 more
europepmc   +1 more source

Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]

open access: yesLett Math Phys
Di Francesco P   +4 more
europepmc   +1 more source

Stochastic reservoir computers. [PDF]

open access: yesNat Commun
Ehlers PJ, Nurdin HI, Soh D.
europepmc   +1 more source

Gluon scattering on the self-dual dyon. [PDF]

open access: yesLett Math Phys
Adamo T, Bogna G, Mason L, Sharma A.
europepmc   +1 more source

Structure of bicentralizer algebras and inclusions of type III factors (Mathematical aspects of quantum fields and related topics)

open access: yesStructure of bicentralizer algebras and inclusions of type III factors (Mathematical aspects of quantum fields and related topics)
We investigate the structure of the relative bicentralizer algebra B(N ⊂ M, φ) for inclusions of von Neumann algebras with normal expectation where N is a type Ill₁ subfactor and φ ∈ N* is a faithful state. We first construct a canonical flow β[φ] : R*₊ ↷ B(N C M, ip) on the relative bicentralizer algebra and we show that the W*-dynamical system (B(N ⊂
openaire  

Majorana quasiparticles and topological phases in 3D active nematics. [PDF]

open access: yesProc Natl Acad Sci U S A
Head LC   +10 more
europepmc   +1 more source

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