Quantum Scattering Theory for Several Particle Systems

Quantum Scattering Theory for Several Particle Systems
Author: L.D. Faddeev
Publisher: Springer Science & Business Media
Total Pages: 415
Release: 2013-04-18
Genre: Science
ISBN: 9401728321


Download Quantum Scattering Theory for Several Particle Systems Book in PDF, Epub and Kindle

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.


Quantum Scattering Theory for Several Particle Systems
Language: en
Pages: 415
Authors: L.D. Faddeev
Categories: Science
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

GET EBOOK

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 tra
Scattering Theory of Classical and Quantum N-Particle Systems
Language: en
Pages: 448
Authors: Jan Derezinski
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

GET EBOOK

This monograph addresses researchers and students. It is a modern presentation of time-dependent methods for studying problems of scattering theory in the class
Quantum Theory of Many-Particle Systems
Language: en
Pages: 626
Authors: Alexander L. Fetter
Categories: Science
Type: BOOK - Published: 2012-03-08 - Publisher: Courier Corporation

GET EBOOK

Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalis
Multiparticle Quantum Scattering in Constant Magnetic Fields
Language: en
Pages: 258
Authors: Christian Gérard
Categories: Science
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

GET EBOOK

This monograph offers a rigorous mathematical treatment of the scattering theory of quantum N-particle systems in an external constant magnetic field. In partic
Many-Body Schrödinger Equation
Language: en
Pages: 411
Authors: Hiroshi Isozaki
Categories: Science
Type: BOOK - Published: 2023-08-28 - Publisher: Springer Nature

GET EBOOK

Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now