Quantum Scattering Theory for Several Particle Systems

  • L. D. Faddeev
  • S. P. Merkuriev

Part of the Mathematical Physics and Applied Mathematics book series (MPAM, volume 11)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. L. D. Faddeev, S. P. Merkuriev
    Pages 1-38
  3. L. D. Faddeev, S. P. Merkuriev
    Pages 39-60
  4. L. D. Faddeev, S. P. Merkuriev
    Pages 61-122
  5. L. D. Faddeev, S. P. Merkuriev
    Pages 123-188
  6. L. D. Faddeev, S. P. Merkuriev
    Pages 189-288
  7. L. D. Faddeev, S. P. Merkuriev
    Pages 289-322
  8. L. D. Faddeev, S. P. Merkuriev
    Pages 323-387
  9. L. D. Faddeev, S. P. Merkuriev
    Pages 389-393
  10. Back Matter
    Pages 395-405

About this book

Introduction

The last decade witnessed an increasing interest of mathematicians in prob­ lems originated in mathematical physics. As a result of this effort, the scope of traditional mathematical physics changed considerably. New problems es­ pecially those connected with quantum physics make use of new ideas and methods. Together with classical and functional analysis, methods from dif­ ferential geometry and Lie algebras, the theory of group representation, and even topology and algebraic geometry became efficient tools of mathematical physics. On the other hand, the problems tackled in mathematical physics helped to formulate new, purely mathematical, theorems. This important development must obviously influence the contemporary mathematical literature, especially the review articles and monographs. A considerable number of books and articles appeared, reflecting to some extend this trend. In our view, however, an adequate language and appropriate methodology has not been developed yet. Nowadays, the current literature includes either mathematical monographs occasionally using physical terms, or books on theoretical physics focused on the mathematical apparatus. We hold the opinion that the traditional mathematical language of lem­ mas and theorems is not appropriate for the contemporary writing on mathe­ matical physics. In such literature, in contrast to the standard approaches of theoretical physics, the mathematical ideology must be utmost emphasized and the reference to physical ideas must be supported by appropriate mathe­ matical statements. Of special importance are the results and methods that have been developed in this way for the first time.

Keywords

Integral equation particles ring theory scattering scattering theory wave equation

Authors and affiliations

  • L. D. Faddeev
    • 1
  • S. P. Merkuriev
    • 1
  1. 1.Institute of Theoretical PhysicsUniversity of St. PetersburgSt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-2832-4
  • Copyright Information Springer Science+Business Media B.V. 1993
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4305-4
  • Online ISBN 978-94-017-2832-4
  • About this book