© 2004

Multiscale Methods in Quantum Mechanics

Theory and Experiment

  • Philippe Blanchard
  • Gianfausto Dell’Antonio
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. M. Arndt, L. Hackermüller, K. Hornberger, A. Zeilinger
    Pages 1-10
  3. J. E. Avron
    Pages 11-22
  4. D. Bambusi
    Pages 23-39
  5. C. Fermanian Kammerer, P. Gérard
    Pages 59-68
  6. C. Presilla, G. Jona-Lasinio, C. Toninelli
    Pages 119-127
  7. M. Pulvirenti
    Pages 129-138

About these proceedings


In the last few years, multiscale methods have lead to spectacular progress in our understanding of complex physical systems and have stimulated the development of very refined mathematical techniques. At the same time on the experimental side, equally spectacular progress has been made in developing experimental machinery and techniques to test the foundations of quantum mechanics. In view of this progress, this volume is very timely; it is the first text totally devoted to multiscale methods as applied to various areas of physics and to the relative developments in mathematics.

The book is aimed at mathematical physicists, theoretical physicists, applied mathematicians, and experimental physicists working in such areas as decoherence, quantum information, and quantum optics.

Contributors: M. Arndt; J.E. Avron; D. Bambusi; D. Dürr; C. Fermanian Kammerer; P. Gerard; L. Hackermüller; K. Hornberger; G. Jona-Lasinio; A. Martin; G. Nenciu; F. Nier; R. Olkiewicz; G. Panati; M. Patel; C. Presilla; M. Pulvirenti; D. Robert; A. Sacchetti; V. Scarani; P. Stollmann; A. Teta; S. Teufel; C. Toninelli; and A. Zeilinger


Potential Quantum mechanics Schrödinger equation algorithm algorithms mechanics stability statistics

Editors and affiliations

  • Philippe Blanchard
    • 1
  • Gianfausto Dell’Antonio
    • 2
  1. 1.Fakultät für PhysikUniversität BielefeldBielefeldGermany
  2. 2.Dipartimento di MatematicaUniversità degli Studi di Roma “La Sapienza”RomaItaly

Bibliographic information


"During recent years spectacular progress has been made in experimentally testing the foundations of quantum mechanics. This development has been complemented by significant theoretical advances in the mathematical description of complex quantum mechanical systems mainly based on so called mutiscale methods" ---Monatshefte für Mathematik