ENGLISH

C 0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians

By Werner O. Amrein , Anne Boutet de Monvel , Vladimir Georgescu (auth.)

Book information

Publisher
Birkhäuser Basel
Year
1996
ISBN
3764353651, 9783764353650
DOI
10.1007/978-3-0348-7762-6
Language
english
Format
DJVU
Filesize
16 MB (16831471 bytes)
Series
Progress in Mathematics 135
Pages
480\480
DPI
600
Time added
2013-04-29 09:02:04
Analysis; TheoreticalMathematical and Computational Physics

Description

The conjugate operator method is a powerful recently develop- ed 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 algeb- raic framework for the N-body problem allowing a simple and systematic treatment of large classes of many-channel hamil- tonians. 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.

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