Mathematical Physics and Applied Mathematics

Quantum Scattering Theory for Several Particle Systems

Authors: Faddeev, L.D., Merkuriev, S.P.

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About this book

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.

Table of contents (8 chapters)

  • General Aspects of the Scattering Problem

    Faddeev, L. D. (et al.)

    Pages 1-38

  • Stationary Approach to Scattering Theory

    Faddeev, L. D. (et al.)

    Pages 39-60

  • The Method of Integral Equation

    Faddeev, L. D. (et al.)

    Pages 61-122

  • Configuration Space. Neutral Particles

    Faddeev, L. D. (et al.)

    Pages 123-188

  • Charged Particles in Configuration Space

    Faddeev, L. D. (et al.)

    Pages 189-288

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-94-017-2832-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-0-7923-2414-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-90-481-4305-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Scattering Theory for Several Particle Systems
Authors
Series Title
Mathematical Physics and Applied Mathematics
Series Volume
11
Copyright
1993
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-017-2832-4
DOI
10.1007/978-94-017-2832-4
Hardcover ISBN
978-0-7923-2414-0
Softcover ISBN
978-90-481-4305-4
Edition Number
1
Number of Pages
XIV, 406
Topics