Quantum Systems Exactly

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

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

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