Amrein / Boutet de Monvel / Georgescu C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

1996. by Birkhäuser Verlag, Switzerland
ISBN: 978-3-0348-0733-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 460 Seiten, eBook

Reihe: Modern Birkhäuser Classics

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)

Zielgruppe

Research

Autoren/Hrsg.

Amrein, Werner O.

Boutet de Monvel, Anne

Georgescu, Vladimir

Inhaltsverzeichnis

Preface.- Comments on notations.- 1 Some Spaces of Functions and Distributions.- 2 Real Interpolation of Banach Spaces.- 3 C0-Groups and Functional Calculi.- 4 Some Examples of C0-Groups.- 5 Automorphisms Associated to C0-Representations.- 6 Unitary Representations and Regularity.- 7 The Conjugate Operator Method.- 8 An Algebraic Framework for the Many-Body Problem.- 9 Spectral Theory of N-Body Hamiltonians.- 10 Quantum-Mechanical N-Body Systems.- Bibliography.- Notations.- Index.

Über Autor(innen)

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.