Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Lectures on Quantum Integrability: Lattices, Symmetries and Physics

Miłosz Panfil

Published Jan 1, 2017• 0 citations
Publisher
DOI
10.1007/978-3-319-56666-5_9

Related papers

Dannie Heineman Prize for Mathematical Physics Prize Lecture: Correlation Functions in Integrable Models II: The Role of Quantum Affine Symmetry

Michio Jimbo

Bulletin of the American Physical Society•Mar 19, 2013•0 citations

Quantum integrability and quantum groups

Miki Wadati

Physica D Nonlinear Phenomena•Sep 1, 1995•3 citations

Symmetry Lectures Dominate Search, No Quantum Nonlocality Found — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: The search results are dominated by crystallographic symmetry lectures and lattice-based mathematics, but contain no direct research on quantum nonlocality with C4 square-lattice measurement settings. The only physics-adjacent item is a lattice QCD paper on heavy-quark masses. MATH: No explicit equations, constants, or ratios are provided in the video titles/abstracts. The crystallographic content implies the 2D plane group formalism: combining 17 wallpaper groups with point group C4 (4-fold rotation, order 4) and translational lattice vectors **a**, **b** with |**a**| = |**b**|, angle 90°. The lattice QCD abstract references meson mass combinations but gives no numerical values. CONNECTION: The C4 point group is central to square-lattice symmetry — its rotation matrix is R(90°) = [[0,−1],[1,0]], eigenvalues ±i, and its character table has four irreducible representations (A, B, E with degeneracy 2). This is the same C4 symmetry that appears in square-lattice spin models and Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

•Sep 21, 2026•0 citations

Quantum groups and quantum complete integrability: Theory and experiment

R. Bullough, JUSSI TIMONEN

Springer eBooks•Apr 7, 2008•7 citations

“Quantum Groups and Quantum Integrable Systems”

Ukrainian Journal of Physics•Nov 1, 2013•24 citations

Mathematical foundations of quantum mechanics: An advanced short course

Valter Moretti

This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called ([Formula: see text]-) algebraic formulation of quantum theories.

arXiv:1508.06951•International Journal of Geometric Methods in Modern Physics•Jul 12, 2016•6 citations
FINDING: The search results are dominated by crystallographic symmetry lectures and lattice-based mathematics, but contain no direct research on quantum nonlocality with C4 square-lattice measurement settings. The only physics-adjacent item is a lattice QCD paper on heavy-quark masses. MATH: No explicit equations, constants, or ratios are provided in the video titles/abstracts. The crystallographic content implies the 2D plane group formalism: combining 17 wallpaper groups with point group C4 (4-fold rotation, order 4) and translational lattice vectors **a**, **b** with |**a**| = |**b**|, angle 90°. The lattice QCD abstract references meson mass combinations but gives no numerical values. CONNECTION: The C4 point group is central to square-lattice symmetry — its rotation matrix is R(90°) = [[0,−1],[1,0]], eigenvalues ±i, and its character table has four irreducible representations (A, B, E with degeneracy 2). This is the same C4 symmetry that appears in square-lattice spin models and Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called ([Formula: see text]-) algebraic formulation of quantum theories.