Overview
- Well-written research monograph that stimulates the further theory evolution of the field
- Self-contained and accessible to advanced students
- Provides auxiliary background material and develops the necessary tools from functional analysis
Part of the book series: Modern Birkhäuser Classics (MBC)
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About this book
The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators. One of the purposes of this volume is to present a refinement of the original method due to Mourre leading to essentially optimal results in situations as varied as ordinary differential operators, pseudo-differential operators and N-body Schrödinger hamiltonians. Another topic is a new algebraic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamiltonians. The monograph will be of interest to research mathematicians and mathematical physicists. The authors have made efforts to produce an essentially self-contained text, which makes it accessible to advanced students. Thus about one third of the book is devoted to the development of tools from functional analysis, in particular real interpolation theory for Banach spaces and functional calculus and Besov spaces associated with multi-parameter C0-groups. Certainly this monograph (containing a bibliography of 170 items) is a well-written contribution to this field which is suitable to stimulate further evolution of the theory. (Mathematical Reviews)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
About the authors
Werner O. Amrein is a Professor of Mathematics at the University of Geneva, Switzerland.
Anne Boutet de Monvel is a Professor of Mathematics at the University Paris Diderot, France.
Vladimir Georgescu is a Professor of Mathematics at the University of Cergy-Pontoise, France.
Anne Boutet de Monvel is a Professor of Mathematics at the University Paris Diderot, France.
Vladimir Georgescu is a Professor of Mathematics at the University of Cergy-Pontoise, France.
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Bibliographic Information
Book Title: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
Authors: Werner O. Amrein, Anne Boutet de Monvel, Vladimir Georgescu
Series Title: Modern Birkhäuser Classics
DOI: https://doi.org/10.1007/978-3-0348-0733-3
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Basel 1996
Softcover ISBN: 978-3-0348-0732-6Published: 09 December 2013
eBook ISBN: 978-3-0348-0733-3Published: 26 November 2013
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: XIV, 460
Additional Information: Originally published as volume 135 in the series Progress in Mathematics
Topics: Functions of a Complex Variable, Associative Rings and Algebras, Algebraic Topology, Abstract Harmonic Analysis