Quantum Systems Exactly

2002/06/13 by Peter Schupp, Schupp, Peter
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum many-body systems #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0206021

142 pages, Habilitation Thesis (Theoretical Physics, University of Munich, December 2001)

arxiv created 2002/06/13 · openalex publication_date 2002/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Contents: 1 Frustrated quantum spin systems 1.1 The Pyrochlore checkerboard 1.2 Singlets in reflection symmetric spin systems 2 Wehrl entropy of Bloch coherent states 2.1 Conjectures of Wehrl and Lieb 2.2 Proof of Lieb's conjecture for low spin 3 Symmetries of the Hubbard model 4 Quantum integrable systems 4.1 Twisted quantum Lax equations 4.2 Face algebras and Ruijsenaars models 5 Noncommutative gauge theory 5.1 Gauge theory on noncommutative spaces 5.2 Seiberg-Witten map and Kontsevich formality, Born-Infeld action in the intermediate picture 5.3 Nonabelian noncommutative gauge fields

Citations

• Deformed QED via Seiberg-Witten Map
• Poisson-Sigma-Models: A Generalization of 2-D Gravity Yang-Mills-Systems
• Solitons and Infinite Dimensional Lie Algebras
• Quantized Lax Equations and Their Solutions
• Coherent states: Theory and some applications
• A note on background independence in noncommutative gauge theories, matrix model and tachyon condensation
• External fields as intrinsic geometry
• Two soluble models of an antiferromagnetic chain
• Choix des signes pour la formalite de M. Kontsevich

Related

• Quantum Spin Systems
• Quantum Spin Systems
• An introduction to spin systems for mathematicians
• Models with Quantum Symmetry and their Spectra
• Some Studies in Noncommutative Quantum Field Theories