Stochastic Methods and Computer Techniques in Quantum Dynamics

1. Front Matter

   Pages I-VI

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2. Preface

   • H. Mitter, L. Pittner

   Pages 1-1

3. Stochastic Processes - Quantum Physics

   • L. Streit

   Pages 3-51

4. Quantum Stochastic Integrals

   • R. F. Streater

   Pages 53-74

5. Stochastic Differential Equations

   • P. Zoller

   Pages 75-100

6. Feynman Path Integrals

   • Cécile DeWitt-Morette

   Pages 101-170

7. The Knife Edge Problem

   • Stephen G. Low

   Pages 171-184

8. Trapping for Newtonian Diffusion Processes

   • Ph. Blanchard

   Pages 185-209

9. Markov Cosurfaces and Gauge Fields

   • S. Albeverio, R. Høegh-Krohn, H. Holden

   Pages 211-231

10. Non-Standard Analysis; Polymer Models, Quantum Fields

    • S. Albeverio

    Pages 233-254

11. Statistical Mechanics of Random Surfaces

    • J. Fröhlich

    Pages 255-257

12. Stochastic Quantization and Gauge Fixing in Gauge Theories

    • E. Seiler

    Pages 259-308

13. Numerical Calculations in Quantum Field Theories

    • C. Rebbi

    Pages 309-347

14. The Heat Kernel on Riemannian Manifolds and Lie Groups

    • T. Arede

    Pages 349-359

15. Confinement in Continuum QCD

    • D. Atkinson

    Pages 361-364

16. Fermion Boundary Condition and θ Angle

    • J. Balog, P. Hraskó

    Pages 365-370

17. Semiclassical and High-Temperature Expansions for Systems with Magnetic Field

    • D. Bolle, D. Roekaerts

    Pages 371-380

18. The Ground State Energy of an Interacting Bose Gas

    • J. Conlon

    Pages 381-387

19. Functional Approach to a Superconductivity-Type Quark-Model With Broken SU(4)-Symmetry

    • D. Ebert

    Pages 389-392

20. Solitons in Solid State Physics

    • H. Grosse

    Pages 393-399

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.

• quantum dynamics

• Institut für Theoretische Physik, Universität Graz, Austria

  H. Mitter

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