
Mathematical Physics X
Proceedings of the Xth Congress on Mathematical Physics, Held at Leipzig, Germany, 30 July - 9 August, 1991
Konrad Schmüdgen(Editor)
Springer (Publisher)
Published on 16. December 2011
Book
Paperback/Softback
XX, 497 pages
978-3-642-77305-1 (ISBN)
Description
The plenary lectures in this volume give a fairly complete overview of the present research in mathematical physics. The book addresses researchers and advanced students in both physics and mathematics.
More details
Edition
Softcover reprint of the original 1st ed. 1992
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XX, 497 p.
Dimensions
Height: 242 mm
Width: 170 mm
Thickness: 29 mm
Weight
887 gr
ISBN-13
978-3-642-77305-1 (9783642773051)
DOI
10.1007/978-3-642-77303-7
Schweitzer Classification
Other editions
Additional editions
Konrad Schmüdgen
Mathematical Physics X
Proceedings of the Xth Congress on Mathematical Physics, Held at Leipzig, Germany, 30 July - 9 August, 1991
Book
06/1992
Springer
€85.55
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Content
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 - A Renormalized Picture -.- Gauge Invariance in Non-Relativistic Many-Body Theory.- Asymptotic Completeness for N-Body Quantum Systems.- Self-Dual Chern-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 Conley-Zehnder for General Cotangent Bundles.- Floer Homology for Mapping Cylinders.- Section 2: Quantum Groups and Non-Commutative Differential Geometry.- ?-Deformation of (Super)Poincaré 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 DynamicalSystems 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 Goldstone'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.