Results 81 to 90 of about 230,209 (162)
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, Volume 78, Issue 8, Page 1359-1410, August 2025.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
, 2009 Introduction-Epistemology and Probability in Quantum Theory: Physics, Mathematics, and Philosophy.- Quantum Phenomena and the Double-Slit Experiment.- Heisenberg's Revolutions: New Kinematics, New Mathematics, and New Philosophy.- From Geometry to ...
A. Plotnitsky
semanticscholar +1 more source
Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT As part of the efforts aimed at extending Painlevé and Gambier's work on second‐order equations in one variable to first‐order ones in two, in 1981, Bureau classified the systems of ordinary quadratic differential equations in two variables which are free of movable critical points (which have the Painlevé Property).
Adolfo Guillot
wiley +1 more source
, 2019 A quantum set is defined to be simply a set of nonzero finite-dimensional Hilbert spaces. Together with binary relations, essentially the quantum relations of Weaver, quantum sets form a dagger compact category. Functions between quantum sets are certain
Kornell, Andre
core
Regularity of the SLE4 uniformizing map and the SLE8 trace
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We show that the modulus of continuity of the SLE4${\rm SLE}_4$ uniformizing map is given by (logδ−1)−1/3+o(1)$(\log \delta ^{-1})^{-1/3+o(1)}$ as δ→0$\delta \rightarrow 0$. As a consequence of our analysis, we show that the Jones–Smirnov conditions for conformal removability (with quasihyperbolic geodesics) do not hold for SLE4${\rm SLE}_4 ...
Konstantinos Kavvadias +2 more
wiley +1 more source
Exhaustive Spatial Sampling for Complete Topology of the Electrostatic Potential
Journal of Computational Chemistry, Volume 46, Issue 20, July 30, 2025.A robust algorithm identifies all critical points of the molecular electrostatic potential (MEP) in 3D space using Newton's method. Tricubic interpolation matches the exact MEP, with slight deviations near nuclei and low gradient regions. It applies to molecules, ions, and noncovalent complexes, revealing reactivity and interaction insights.
Evelio Francisco +2 more
wiley +1 more source
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 ...
openaire +3 more sources
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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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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