Stochastic Methods and Computer Techniques in Quantum Dynamics: Proceedings of the XXIII. Internationale Universitätswochen Für Kernphysik 1984 Der Ka

ISBN-13: 9783709187821 / Angielski / Miękka / 2012 / 454 str.

H. Mitter; L. Pittner

Opis

This volume contains the written versions of lectures held at the "23. Internationale Universit~tswochen fUr Kernphysik" in Schladming, Austria, in February 1984. Once again the generous support of our sponsors, the Austrian Ministry of Science and Research, the Styrian Government and others, had made it possible to organize this school. The aim of the topics chosen for the meeting was to present different aspects of stochastic methods and techniques. These methods have opened up new ways to attack problems in a broad field ranging from quantum mechanics to quantum field theory. Thanks to the efforts of the lecturers it was possible to take this development into account and show relations to areas where stochastic methods have been used for a long time. Due to limited space only short manuscript versions of the many seminars presented could be included. The lecture notes were reexamined by the authors after the school and are now published in their final form. It is a pleasure to thank all the lecturers for their efforts which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for her careful typing of the notes. H. Mitter L. Pittner Acta Physica Austriaca, Suppl. XXVI, 3-52 (1984) (c) by Springer-Verlag 1984 STOCHASTIC PROCESSES - QUANTUM PHYSICS+ by L. STREIT Universitat Bielefeld BiBoS D-4800 Bielefeld. FR Germany I.

Spis treści

Preface.- Stochastic Processes — Quantum Physics.- Quantum Stochastic Integrals.- Stochastic Differential Equations.- Feynman Path Integrals. From the Prodistribution Definition to the Calculation of Glory Scattering.- The Knife Edge Problem.- Trapping for Newtonian Diffusion Processes.- Markov Cosurfaces and Gauge Fields.- Non-Standard Analysis; Polymer Models, Quantum Fields.- Statistical Mechanics of Random Surfaces.- Stochastic Quantization and Gauge Fixing in Gauge Theories.- Numerical Calculations in Quantum Field Theories.- The Heat Kernel on Riemannian Manifolds and Lie Groups.- Confinement in Continuum QCD.- Fermion Boundary Condition and ? Angle.- Semiclassical and High-Temperature Expansions for Systems with Magnetic Field.- The Ground State Energy of an Interacting Bose Gas.- Functional Approach to a Superconductivity-Type Quark-Model with Broken SU(4)-Symmetry.- Solitons in Solid State Physics.- Normalization of Currents in Lattice QCD.- Stochastic Quantization and Supersymmetry.- Quantum Field Theory in Gravitational Background.- The Josephson Potential as a Statistical Phenomenon.- Generating Functional and Quantum Stability in Field Theory Models with Solitons.- Stochastic Quantization of the Linearized Gravitational Field.- Rotation-Invariant Regularization of Quantum Chromodynamics in Strong Coupling.- Monte Carlo Simulation of the Process e+e???+??(?).