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World Scientific Lecture Notes in Physics - Vol. 36

TRAJECTORIES AND RAYS: THE PATH-SUMMATION IN QUANTUM MECHANICS AND OPTICS I

by A Ranfagni, D Mugnai, P Moretti (Istituto di Ricerca Sulle Onde Elettromagnetiche del CNR, Italy) & M Cetica (Istituto Nazionale di Ottica, Firenze, Italy)

This book presents selected topics about the path-integral method in Quantum Mechanics and Optics. Starting from an introduction to the grounds of functional integration theory, the main arguments of quantum and statistical mechanics, where the path-integral method works, are exposed. In particular, the partition function, the concept of instanton, tunneling and dissipative phenomena are analysed. The final section is devoted to selected and solved problems. This volume will be useful to beginners as well as more advanced students and researchers in the field.


Contents:

  • An Outline on Functional Integration
  • Path Integrals in Quantum Mechanics
  • Asymptotic Approximation
  • Further Aspects of the Asymptotic Approximation
  • First Applications to Tunneling Processes
  • Different Approaches to the Tunneling
  • Decay Rate in Anharmonic Potentials
  • Dissipative Systems at Zero Temperature
  • Dissipative Systems at Finite Temperature
  • Maxwell's Equations and Path-Integrals Method
  • Path Integrals and Coupled-Wave problems


Readership: Physicists and applied physicists.

240pp Pub. date: Dec 1990
ISBN 9971-50-781-1 US$75 / £52


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 15 October 2008