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Multiparticle Quantum Scattering in Constant Magnetic Fields

Gerard, Izabella Laba , Christian

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ISBN 10: 082182919X / ISBN 13: 9780821829196
Published by American Mathematical Society, 2001
Used Condition: Good Hardcover
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242 pages, hardcover. Ex-library copy with sticker on spine, stamping to end papers and edges. No marking internally. Record # 408850. Bookseller Inventory # 408850

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Bibliographic Details

Title: Multiparticle Quantum Scattering in Constant...

Publisher: American Mathematical Society

Publication Date: 2001

Binding: Hardcover

Book Condition: Good

Dust Jacket Condition: None

Edition: 1st Edition

About this title


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 behavior. 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 1980s and 1990s, 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expository material, research work previously available only in the form of journal articles, as well as some new unpublished results.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.

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