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INTRODUCTION TO PATH-INTEGRAL METHODS IN PHYSICS AND POLYMER SCIENCE

by F W Wiegel

This monograph distills material prepared by the author for class lectures, conferences and research seminars. It fills in a much-felt gap between the older and original work by Feynman and Hibbs and the more recent and advanced volume by Schulman.

After presenting an elementary account on the Wiener path integral as applied to Brownian motion, the author progresses on to the statistics of polymers and polymer entanglements. The next three chapters provide an introduction to quantum statistical physics with emphasis on the conceptual understanding of many-variable systems. A chapter on the renormalization group provides material for starting on research work. The final chapter contains an over view of the role of path integrals in recent developments in physics. A good bibliography is provided for each chapter.


Contents:

  • Introduction
  • Brownian Movement in a Field of Force, Macromolecules
  • Path Integrals with Topological Constraints
  • Polymer Entanglements, Knots and Links
  • Quantum Physics
  • Classical Statistical Physics
  • Quantum Statistical Physics
  • Approximate Theories of the Interaction Bose Fluid and the Vortex-Ring Model for the Lambda Transition
  • Renormalization Group Theory of the Interaction Bose Fluid
  • Path Integrals and the Holistic Apporach to Theoretical Physics


Readership: Physicists and chemists.


"The book will be useful for all those who would like to get a rough impression of the ideas and methods of path integration."

B Geyer
Mathematical Reviews, USA, 1988




210pp Pub. date: Sept 1986
ISBN 9971-978-70-9 US$43 / £31


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008