Many-Electron Approaches in Physics, Chemistry and Mathematics

A Multidisciplinary View

  • Volker Bach
  • Luigi Delle Site

Part of the Mathematical Physics Studies book series (MPST)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Topics in Quantum Chemistry

    1. Front Matter
      Pages 1-1
    2. Benjamin Simmen, Markus Reiher
      Pages 3-29
    3. Mathieu Lewin, Éric Séré
      Pages 31-52
    4. Örs Legeza, Thorsten Rohwedder, Reinhold Schneider, Szilárd Szalay
      Pages 53-76
    5. Barbara Kirchner, Frank Weinhold, Joachim Friedrich, Eva Perlt, Sebastian B. C. Lehmann
      Pages 77-96
    6. Tobias Watermann, Arne Scherrer, Daniel Sebastiani
      Pages 97-110
  3. Topics in Density Functional Theory and Related Approaches

    1. Front Matter
      Pages 111-111
    2. Valentin V. Karasiev, Debajit Chakraborty, S. B. Trickey
      Pages 113-134
    3. Nikos L. Doltsinis
      Pages 135-151
    4. Francesc Malet, André Mirtschink, Klaas J. H. Giesbertz, Paola Gori-Giorgi
      Pages 153-168
  4. Topics in Computer Science

    1. Front Matter
      Pages 243-243
    2. James Daniel Whitfield, Norbert Schuch, Frank Verstraete
      Pages 245-260
  5. Information Theory in Many-Electron Descriptions

  6. Green Function-Based Approaches

    1. Front Matter
      Pages 319-319
  7. Topics in Quantum Monte Carlo and Related Approaches

    1. Front Matter
      Pages 359-359
    2. Luigi Delle Site
      Pages 361-375
  8. Epilogue

    1. Front Matter
      Pages 411-411
    2. Volker Bach, Luigi Delle Site
      Pages 413-417

About this book


This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective. In the context of studying many-electron systems Computer Science, Chemistry, Mathematics and Physics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offer a common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably require substantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to the many-electron problem.


Constrained-Pairing Mean-Field Theory Density Functional Theory Dynamical Mean Field Theory Hartree-Fock-Bogoliubov Theory Many-electron Models Many-electron Schroedinger Equation One-particle Density Matrix Quantum Cluster Equilibrium Quantum Monte Carlo Time Dependent Density Functional Theory

Editors and affiliations

  • Volker Bach
    • 1
  • Luigi Delle Site
    • 2
  1. 1.Institut für Analysis Und Algebra Carl-Friedrich-Gauss-FakultätTechnische Universität BraunschweigBraunschweigGermany
  2. 2.Institute for MathematicsFreie Universität BerlinBerlinGermany

Bibliographic information

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