Mathematical Problems in Theoretical Physics

Inhaltsverzeichnis

• On some problems associated with the foundation of statistical mechanics.
• Regrüssungsansprache zur 6th international conference on mathematical physics Berlin 1981.
• Periodicity and the onset of chaos.
• Lorentz gas and random walks.
• The Kosterlitz-Thouless transition.
• Mechanical models of Brownian motion.
• Goldstone theorem in statistical mechanics.
• Some inequalities related to roughening.
• Self-diffusion as an example for the hydrodynamic limit.
• Geometric analysis of ?4 fields and Ising models.
• Some topics in quantum field theory.
• What is the state space of quantum electrodynamics?.
• Results and problems near the interface between statistical mechanics and quantum field theory.
• A renormalization group based convergent expansion for a class of massless lattice models.
• Phase diagrams for iow temperature p(?)2 quantum field models.
• Covariant representations of massless fermi fields.
• Singularities in fluid dynamics.
• The boost problem.
• Singularities, cauchy horizons and extensions of a large class of Einstein-Maxwell spacetimes.
• Asymptotic structure in general relativity.
• Yang-mills theory in a multiply connected three space.
• Recent developments in supergravity.
• Bragg scattering from point interactions: An explicit formula for the reflection coefficient.
• Stability of molecular eigenstates.
• Description of the semiclassical limit of quantum mechanics in terms of diffusion processes.
• Algebraic approach to some propagation properties of the Schrodinger equation.
• Scattering theory for time-dependent Hamiltonians.
• How do eigenfunctions decay? The case of N-body quantum systems.
• Geometric methods in quantum many-body problem.
• Almost periodic Schröder operators: A review.
• Scattering theory for obstacles with infinite boundaries.
• Experimental tests ofBell's inequalities.
• Mathematical structure of orthodox quantum theory and its relation to operationally definable physical principles.
• Connections of different approaches to the foundation of quantum mechanics based on a description of preparing and recording of microsystems.
• What is wrong in Orthodox Quantum Theory.
• Parallel session on the foundations of quantum mechanics.
• Integrable systems in multidimensional spaces.
• Ordinary differential equations and the symmetric eigenvalue problem.
• Theory of ? functions in integrable systems.
• The Kirchhoff type equations and multivalued functionals.
• Singularities of solutions of semilinear wave equations.
• New results for classical gauge theories: Qualitative and exact.
• Lattice gauge theory.
• Some applications of functional integration.
• Stochastic jump processes in the phase space representation of quantum mechanics.
• Applications of jump processes to quantum mechanics and relativistic bose field theory.
• Quantum stochastic processes.
• Generalized brownian functionals.
• A cameron-martin formula for feynman integrals (The origin of the Maslov indices).
• Intstanton gas parameters in the double well model.
• Scattering theory and automorphic functions.
• Extensions of unitary irreducible representations of poincare group. Application to quantum field theory.
• Nonlinear group representations and applications to nonlinear equations.
• Supersymmetry, supergravity and geometry.
• Deformation theory applied to quantization and group representations.
• Conformal invariance IN (gauge) quantum field theory.
• On the representations of the group diffeomorphisms and the local current algebra.
• Presentation of the contributions in group theory at this conference.
• Generalizedgauge theories and the constituents of massless particles.
• Symmetry in condensed matther physics.
• Singular unitary representations and indefinite harmonic theory.
• Schrödinger operators with almost periodic potemntial: An overview.
• A note on non-linear aspects of QFT.
• Locality and the structure of particle states in gauge field theories.
• Modular automorphisms of local algebras in quantum field theory.
• The Search for Quantum Differential Geometry.
• On the spectrum of schrödinger operators with a random potential.
• Localization : Physical picture and exact results.
• Diffusion in one-dimensional lattice systems with random transfer rates.
• Edward's model for long polymer chains.
• On the status of QCD.
• Some advances and problems in classical general relativity.
• From general relativity to quantum gravity.