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 of Bell'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.- 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.- Generalized gauge 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.
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Originalbroschur. Condizione: Gut. XII, 429 S. Papierbedingt leicht gebräunt. - The discussion of a nuntoer of questions concerning the problem of the foundation of statistical mechanics were proposed. A process of approaching to the state of statistical equilibrium was analyzed from a general point of view, for both classical and quantum dynamical systems. It is shown that the mixing property arising in ergodic theory is not necessary for statistical systems for any finite volume and number of particles. Of importance is only the appropriate behaviour of the limiting average values of the macroscopic quantities at t to infinity after the transition to the limit of statistical mechanics has been performed. So the fact that ergodic theory in its standard form is not sufficiently established. In order to explain this idea, some model systems were investigated, i.e. the problem of interaction of the particle with quantum field. The open mathematical questions in this field were announced and it was especially stressed that one has not succeeded yet in rigorous proving the properties of irany-particle systems which is required by the basic postulate of statistical mechanics. ISBN 9783540111924 Sprache: Englisch Gewicht in Gramm: 720. Codice articolo 1097657
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