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TitleMathematical Physics X [electronic resource] : Proceedings of the Xth Congress on Mathematical Physics, Held at Leipzig, Germany, 30 July - 9 August, 1991 / edited by Konrad Schmรผdgen
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992
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Descript XX, 497 p. online resource


I Plenary Lectures -- Recent Progress in Classical Mechanics -- to the Differential Geometry of Quantum Groups -- Chaotic Quantum Systems -- Dynamical Zeta Functions: Where Do They Come From and What Are They Good For? -- Billiard-Type Systems with Chaotic Behaviour and Space-Time Chaos -- Statistical Physics and Spectral Theory of Disordered Systems: Some Recent Developments -- Low Temperature Stochastic Spin Dynamics: Metastability, Convergence to Equilibrium and Phase Segregation -- Entropy Methods in Hydrodynamical Scaling -- Quantum Groups and Non-Commutative Differential Geometry -- Hamiltonian Methods in Conformal Field Theory -- On the General Theory of Quantized Fields -- Atomic and Molecular Structure โ{128}{148} A Renormalized Picture โ{128}{148} -- Gauge Invariance in Non-Relativistic Many-Body Theory -- Asymptotic Completeness for N-Body Quantum Systems -- Self-Dual Chernโ{128}{148}Simons Solitons -- Mathematical Theory of Classical Fields and General Relativity -- Representations of Quantized Differential Forms in Non-Commutative Geometry -- II Session Lectures -- Section 1: Analysis on Manifolds and Classical Mechanics -- Solutions of Nonlinear Wave Equations and Localization Theory -- Connections on Symplectic Manifolds and Characteristic Classes of Hamiltonian Systems -- Symplectic Twist Maps and the Theorem of Conleyโ{128}{148}Zehnder for General Cotangent Bundles -- Floer Homology for Mapping Cylinders -- Section 2: Quantum Groups and Non-Commutative Differential Geometry -- ?-Deformation of (Super)Poincarรฉ Algebra -- Quantum Physics as Non-Commutative Geometry -- An Operator Algebraic Framework for the Duality of Quantum Groups -- Section 3: Chaotic Quantum Systems -- Distribution of Energy Levels in Quantum Systems with Integrable Classical Counterpart. Rigorous Results -- Entropy-Invariants of Dynamical Systems and Perturbations of Operators -- Chaotic Motion in Coulombic Potentials -- Generalized Floquet Operator for Quasiperiodically Driven Quantum Systems -- Section 4: Equilibrium Statistical Mechanics -- Magnetization and Slow Decay of Correlations in Continuum 1/r2 Ising Models -- Existence of the Kosterlitz-Thouless Phase for Two-Dimensional Coulomb Gases at Inverse Temperatures above 8? -- Large Deviation Behavior of Statistical Mechanics Models in the Multiphase Regime -- Section 5: Classical Dynamical Systems and Random Perturbations -- A Variational Approach to the Random Diffeomorphisms Type Perturbations of a Hyperbolic Diffeomorphism -- Chaotic Mappings and Stochastic Markov Chains -- Section 6: Disordered Systems -- Quantum Spin Systems in a Random Environment -- Rounding Effects in Systems with Static Disorder -- Section 7: Nonequilibrium Statistical Mechanics -- Derivation of Euler Equation from Hamiltonian Systems with Negligible Random Noise -- The Spatial Structure in Diffusion Limited Two-Particle Reactions -- Multilevel Models of Interacting Diffusions and Large Deviations -- Section 8: General Theory of Quantized Fields -- Fields, Particles and Analyticity: Recent Results -- Quantum Field Theory in Curved Spacetime -- Charges in Quantum Field Theory -- Three Exactly Soluble Quantum Field Theory Models in 2-, 3- and 4-Dimensional Space Time and Some General Questions They Suggest -- CPT- and Lorentz-Transformations in Two-Dimensional Quantum Field Theory -- The Concept of Spontaneously Broken Symmetry and a New Approach to Goldstoneโ{128}{153}s Theorem -- Section 9: Nonrelativistic Quantum Mechanics (Stationary) -- On the Atomic Energy Asymptotics -- Section 10: Special Systems in Quantum Field -- Existence of the Schwinger Functions of the Three-Dimensional Gross-Neveu Model -- Progress in Completely Integrable Models of Quantum Field Theory -- Section 11: Scattering Theory, Inverse Problems -- Inverse Scattering at Fixed Energy -- Semi-Classical and High-Energy Asymptotics of the Scattering Phase for Perturbations of Elliptic Operators -- On the Mapping Properties of the Wave Operators in Scattering Theory -- Section 12: Conformai and Topological Field Theory -- Reduction of Kac-Moody Systems -- Quantum Symmetry of Rational Conformal Models -- Section 13: General Relativity and Classical Field Theory -- Quasi-Normal Modes of the Schwarzschild Space-Time -- The Initial Value Problem for Self-Gravitating Fluid Bodies -- Poster Session and Program -- Poster Session -- Program

Mathematics Mathematical physics Physics Thermodynamics Statistical physics Dynamical systems Mathematics Mathematical Physics Mathematical Methods in Physics Thermodynamics Statistical Physics Dynamical Systems and Complexity


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