Many-Electron Approaches in Physics, Chemistry and Mathematics

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

“This book presents 23 papers that delve into various areas of research. The intent is to present a multidisciplinary perspective across the fields of computer science, physics, chemistry, and mathematics. … This book should be of primary interest to those involved in ongoing research in physics and physical chemistry.” (G. R. Mayforth, Computing Reviews, April, 2015)

• Institut für Analysis Und Algebra Carl-Friedrich-Gauss-Fakultät, Technische Universität Braunschweig, Braunschweig, Germany

  Volker Bach

• Institute for Mathematics, Freie Universität Berlin, Berlin, Germany

  Luigi Delle Site

Policies and ethics