Quantum Systems Exactly
arXiv:math-ph/0206021
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
142 pages, Habilitation Thesis (Theoretical Physics, University of Munich, December 2001)
References in corpus (31)
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- Noncommutative Open String and D-brane
- D-branes and Deformation Quantization
- Gauge Theory on Noncommutative Spaces
- Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
- Two-Dimensional Gravity and Nonlinear Gauge Theory
- Nonassociative Star Product Deformations for D-brane Worldvolumes in Curved Backgrounds
- A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
- A Coassociative C*-Quantum Group with Non-Integral Dimensions
- Nonabelian noncommutative gauge theory via noncommutative extra dimensions
- An Information-Theoretic Measure of Uncertainty due to Quantum and Thermal Fluctuations
- Noncommutative Yang-Mills from equivalence of star products
- Noncommutative gauge theory for Poisson manifolds
- The Yangian symmetry of the Hubbard Model
- Renormalization of noncommutative U(N) gauge theories
- Magnetic susceptibility of diluted pyrochlore and SCGO antiferromagnets
- Generalized *-Products, Wilson Lines and the Solution of the Seiberg-Witten Equations
- The Topological G/G WZW Model in the Generalized Momentum Representation
- Ground state properties of a fully frustrated quantum spin system
- Deformed QED via Seiberg-Witten Map
- Poisson-Sigma-Models: A Generalization of 2-D Gravity Yang-Mills-Systems
- On Open String Sigma-Model and Noncommutative Gauge Fields
- On non-commutative N=2 super Yang-Mills
- Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization
- External Fields as Intrinsic Geometry
- Choix des signes pour la formalite de M. Kontsevich
- Quantized Lax Equations and Their Solutions
- Quantum Symmetry of Hubbard Model Unraveled
- Nonabelian noncommutative gauge fields and Seiberg-Witten map
- AKS scheme for face and Calogero-Moser-Sutherland type models
- Twisted Quantum Lax Equations