C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

Amrein, Werner O.; De Monvel, Anne Boutet; Georgescu, Vladimir

ISBN 10: 3034807325 / ISBN 13: 9783034807326

Published by Birkhäuser, 2013

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Bibliographic Details

• Title: C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
• Publisher: Birkhäuser
• Publication Date: 2013
• Language: English
• ISBN 10: 3034807325
• ISBN 13: 9783034807326
• Binding: Soft cover
• Condition: As New

About this title

Synopsis

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)

About the Author

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.