© 2006

The Flow Equation Approach to Many-Particle Systems


Part of the Springer Tracts in Modern Physics book series (STMP, volume 217)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Stefan Kehrein
    Pages 1-9
  3. Stefan Kehrein
    Pages 11-41
  4. Stefan Kehrein
    Pages 43-61
  5. Stefan Kehrein
    Pages 63-135
  6. Stefan Kehrein
    Pages 137-168
  7. Back Matter
    Pages 169-172

About this book


This self-contained monograph addresses the flow equation approach to many-particle systems. The flow equation approach consists of a sequence of infinitesimal unitary transformations and is conceptually similar to renormalization and scaling methods. Flow equations provide a framework for analyzing Hamiltonian systems where these conventional many-body techniques fail. The text first discusses the general ideas and concepts of the flow equation method. In a second part these concepts are illustrated with various applications in condensed matter theory including strong-coupling problems and non-equilibrium systems. The monograph is accessible to readers familiar with graduate- level solid-state theory.


Condensed matter theory Flow equations Many-body theory Renormalization Strong coupling condensed matter

Authors and affiliations

  1. 1.Ludwig-Maximilians-Universität München Fakultät für PhysikMünchenGermany

Bibliographic information

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Energy, Utilities & Environment


From the reviews:

“The book exposes the flow equation approach to many-particle systems … . The book is well written, in a pedagogical manner. It works out in detail exactly solvable models, like the potential scattering and the resonant level models, to develop the ideas and concepts, and then proceeds to their application to those nontrivial problems, making comparisons to other approaches and pointing out the advantages of this method. It contains many up-to-date references. The book can be used in a graduate course on many-particle systems.” (Vitor R. Vieira, Mathematical Reviews, Issue 2012 d)