Multiparticle Quantum Scattering in Constant Magnetic Fields is popular PDF and ePub book, written by Christian Gérard in 2002, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Multiparticle Quantum Scattering in Constant Magnetic Fields can be Read Online from any device for your convenience.

Multiparticle Quantum Scattering in Constant Magnetic Fields Book PDF Summary

This monograph offers a rigorous mathematical treatment of the scattering theory of quantum N-particle systems in an external constant magnetic field. In particular, it addresses the question of asymptotic completeness, a classification of all possible trajectories of such systems according to their asymptotic behaviour. The book adopts the so-called time-dependent approach to scattering theory, which relies on a direct study of the Schrodinger unitary group for large times. The modern methods of spectral and scattering theory introduced in the 1980's and 1990's, including the Mourre theory of positive commutators, propagation estimates, and geometrical techniques, are presented and heavily used. Additionally, new methods were developed by the authors in order to deal with the (much less understood) phenomena due to the presence of the magnetic field. The book is a good starting point for graduate students and researchers in mathematical physics who wish to move into this area of research. It includes expository material, research work previously available only in the form of journal articles, as well as some new unpublished results. The treatment of the subject is comprehensive and largely self-contained, and the text is carefully written with attention to detail.

Detail Book of Multiparticle Quantum Scattering in Constant Magnetic Fields PDF

Multiparticle Quantum Scattering in Constant Magnetic Fields
  • Author : Christian Gérard
  • Release : 21 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821829196
  • Genre : Science
  • Total Page : 258 pages
  • Language : English
  • PDF File Size : 12,5 Mb

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