Ebook: Stochastic Methods and Computer Techniques in Quantum Dynamics

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) © by Springer-Verlag 1984 STOCHASTIC PROCESSES - QUANTUM PHYSICS+ by L. STREIT Universitat Bielefeld BiBoS D-4800 Bielefeld. FR Germany I.

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Content:
Front Matter....Pages I-VI
Preface....Pages 1-1
Stochastic Processes - Quantum Physics....Pages 3-51
Quantum Stochastic Integrals....Pages 53-74
Stochastic Differential Equations....Pages 75-100
Feynman Path Integrals....Pages 101-170
The Knife Edge Problem....Pages 171-184
Trapping for Newtonian Diffusion Processes....Pages 185-209
Markov Cosurfaces and Gauge Fields....Pages 211-231
Non-Standard Analysis; Polymer Models, Quantum Fields....Pages 233-254
Statistical Mechanics of Random Surfaces....Pages 255-257
Stochastic Quantization and Gauge Fixing in Gauge Theories....Pages 259-308
Numerical Calculations in Quantum Field Theories....Pages 309-347
The Heat Kernel on Riemannian Manifolds and Lie Groups....Pages 349-359
Confinement in Continuum QCD....Pages 361-364
Fermion Boundary Condition and ? Angle....Pages 365-370
Semiclassical and High-Temperature Expansions for Systems with Magnetic Field....Pages 371-380
The Ground State Energy of an Interacting Bose Gas....Pages 381-387
Functional Approach to a Superconductivity-Type Quark-Model With Broken SU(4)-Symmetry....Pages 389-392
Solitons in Solid State Physics....Pages 393-399
Normalization of Currents in Lattice QCD....Pages 401-408
Stochastic Quantization and Supersymmetry....Pages 409-413
Quantum Field Theory in Gravitational Background....Pages 415-421
The Josephson Potential as a Statistical Phenomenon....Pages 423-426
Generating Functional and Quantum Stability in Field Theory Models with Solitons....Pages 427-433
Stochastic Quantization of the Linearized Gravitational Field....Pages 435-439
Rotation-Invariant Regularization of Quantum Chromodynamics in Strong Coupling....Pages 441-446
Back Matter....Pages 447-452
....Pages 453-453