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Recent Developments in Mathematical Physics

Proceedings of the XXVI Int. Universitätswochen für Kernphysik Schladming, Austria, February 17–27, 1987

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Heinrich Mitter

    1. Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

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  2. Ludwig Pittner

    1. Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

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Table of contents (34 papers)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Circle Mappings

    • O. E. Lanford III
    Pages 1-17

  3. Dirac’s Theory of Constraints

    • C. A. Hurst
    Pages 18-52

  4. Some Properties of Bound States in Potentials

    • A. Martin
    Pages 53-79

  5. Wiener Measure Regularization for Quantum Mechanical Path Integrals

    • J. R. Klauder
    Pages 80-99

  6. Schrödinger Operators with Random and Almost Periodic Potentials

    • B. Simon
    Pages 100-101

  7. The Dynamical Entropy of Quantum Systems

    • A. Connes, H. Narnhofer, W. Thirring
    Pages 102-136

  8. Hamiltonian Approach to the Theory of Anomalies

    • L. Faddeev
    Pages 137-159

  9. Phase Space Expansions in Quantum Field Theory

    • J. Feldman
    Pages 160-183

  10. Berezin’s Pseudodifferential Forms

    • J. Wess
    Pages 184-190

  11. Classical Non-Linear σ-Models on Grassmann Manifolds

    • J.-P. Antoine, B. Piette
    Pages 191-195

  12. On Relativistic Irreducible Quantum Fields Fulfilling CCR

    • K. Baumann
    Pages 196-200

  13. Krein’s Spectral Shift Function and Supersymmetric Quantum Mechanics

    • D. Bollé
    Pages 201-206

  14. Lattice Gauge Theories with Continuous Time and Decimation

    • Ch. Borgs
    Pages 207-213

  15. Some Aspects of the Boson-Fermion (In-) Equivalence

    • P. Garbaczewski
    Pages 214-218

  16. Optimization of Real-Space Renormalization-Group Transformations

    • H. Gausterer, C. B. Lang
    Pages 219-223

  17. Finding Quarkonia in QCD Vacuum

    • Glazek
    Pages 224-228

  18. Quantization of Fermions in External Soliton Fields

    • H. Grosse
    Pages 229-233

  19. Resolution of the U(1) Problem by Lattice Gauge Theory

    • J. Hoek
    Pages 234-239

  20. On Some Recent Results for Conservation Laws in One Dimension

    • H. Holden
    Pages 240-244
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Keywords

About this book

This volume contains the written versions of invited lectures and abstracts of seminars presented at the 26th "Universitatswochen fiir Kernphysik" (Uni­ versity nuclear physics weeks) in Schladming, Austria, in February 1987. Again the generous support of our sponsors, the Austrian Ministry of Sci­ ence and Research, the Styrian government and others, made it possible to invite expert lecturers. The meeting was organized in honour of Prof. Dr. th Walter Thirring in connection with his 60 birthday. In choosing the topics for the lectures we have tried to cover a good many of the areas in which mathematical physics has made significant progress in recent years. Both classical and quantum mechanical problems are considered as well as prob­ lems in statistical physics and quantum field theory. The common feature lies in the methods of mathematical physics that are used to understand the underlying structure and to proceed towards a rigorous solution. Thanks to the efforts of the speakers this spirit was maintained in all lectures. Due to space limitations only shortened versions of the many seminars presented in Schladming could be included. After the school the lecture notes were revised by the authors, whom we thank for their efforts, which made it possible to speed up publication. Thanks are also due to Mrs. Neuhold for the careful typing of the notes, and to Miss Koubek and Mr. Preitler for their help in proofreading.

Editors and Affiliations

  • Institut für Theoretische Physik, Karl-Franzens-Universität, Graz, Austria

    Heinrich Mitter, Ludwig Pittner

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