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Quantum Scattering Theory for Several Particle Systems : Mathematical Physics and Applied Mathematics - L. D. Faddeev

Quantum Scattering Theory for Several Particle Systems

Mathematical Physics and Applied Mathematics

Hardcover Published: 31st August 1993
ISBN: 9780792324140
Number Of Pages: 406

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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.

Introduction
General Aspects of the Scattering Problemp. 1
Stationary Approach to Scattering Theoryp. 39
The Method of Integral Equationp. 61
Configuration Space. Neutral Particlesp. 123
Charged Particles in Configuration Spacep. 189
Mathematical Foundation of the Scattering Problemp. 289
Some Applicationsp. 323
Comments on Literaturep. 389
Bibliographyp. 395
Indexp. 401
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792324140
ISBN-10: 0792324145
Series: Mathematical Physics and Applied Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 406
Published: 31st August 1993
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 24.54 x 16.26  x 2.77
Weight (kg): 0.79

Earn 474 Qantas Points
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