Notice: Undefined variable: n_bookId in /var/www/domains/booqster/index.php on line 177 C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135 by Werner Amrein, ISBN 9783764353650 - booqster.com

C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135

Springer-Verlag New York, LLC
February 1996
  • Mathematical Analysis - Functional Analysis
  • Theoretical Physics
  • Mathematics
  • Physics
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C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135 Synopsis

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.


C-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians, Vol. 135 Table Of Content

Preface
Comments on notations
Ch. 1Some Spaces of Functions and Distributions
Ch. 2Real Interpolation of Banach Spaces
Ch. 3C[subscript 0]-Groups and Functional Calculi
Ch. 4Some Examples of C[subscript 0]-Groups
Ch. 5Automorphisms Associated to C[subscript 0]-Representations
Ch. 6Unitary Representations and Regularity
Ch. 7The Conjugate Operator Method
Ch. 8An Algebraic Framework for the Many-Body Problem
Ch. 9Spectral Theory of N-Body Hamiltonians
Ch. 10Quantum-Mechanical N-Body Systems
Bibliography
Notations
Index


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