Modern Birkhäuser Classics

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

Authors: Amrein, Werner O., Boutet de Monvel, Anne, Georgescu, Vladimir

  • 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
see more benefits

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-0733-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-0348-0732-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)  

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.

Table of contents (10 chapters)

  • Some Spaces of Functions and Distributions

    Amrein, Werner O. (et al.)

    Pages 1-28

  • Real Interpolation of Banach Spaces

    Amrein, Werner O. (et al.)

    Pages 29-72

  • C0-Groups and Functional Calculi

    Amrein, Werner O. (et al.)

    Pages 73-170

  • Some Examples of C0-Groups

    Amrein, Werner O. (et al.)

    Pages 171-190

  • Groups of Automorphisms Associated to C 0-Representations of ℝ n

    Amrein, Werner O. (et al.)

    Pages 191-233

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-0348-0733-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-0348-0732-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
C0-Groups, Commutator Methods and Spectral Theory of N-Body Hamiltonians
Authors
Series Title
Modern Birkhäuser Classics
Copyright
1996
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0733-3
DOI
10.1007/978-3-0348-0733-3
Softcover ISBN
978-3-0348-0732-6
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XIV, 460
Additional Information
Originally published as volume 135 in the series Progress in Mathematics
Topics