Complex Quantum Systems: Analysis Of Large Coulomb Systems

by Heinz Siedentop (Editor)

Overview

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of Singapore's Institute for Mathematical Sciences from 17 February to 27 March 2010. It guides the reader through two introductory expositions on large Coulomb systems to five of the most important developments in the field: derivation of mean field equations, derivation of effective Hamiltonians, alternative high precision methods in quantum chemistry, modern many-body methods originating from quantum information, and — the most complex — semirelativistic quantum electrodynamics.These introductions are written by leaders in their fields; amongst them are Volker Bach, Rafael Benguria, Thomas Chen, and Jan Philip Solovej. Together, they fill a gap between current textbooks and the vast modern literature on complex quantum systems.

Product Details

ISBN-13:	9789814460149
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	07/22/2013
Series:	Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore , #24
Pages:	304
Product dimensions:	6.00(w) x 9.10(h) x 0.90(d)

Table of Contents

Foreword vii

Preface ix

Stability of Matter Rafael D. Benguria Benjamín A. Loewe 1

Mathematical Density and Density Matrix Functional Theory (DFT and DMFT) Volker Bach 61

On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree-Fock Interactions Thomas Chen 121

On the Minimization of Hamiltonians over Pure Gaussian States Jan Derezin Marcin Napiórkowski Jan Philip Solovej 151

Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem Maho Nakata Mituhiro Fukuda Katsuki Fujisawa 163

Fermionic Quantum Many-Body Systems: A Quantum Information Approach Christina V. Kraus 195

Hydrogen-Like Atoms in Relativistic QED Martin Könenberg Oliver Matte Edgardo Stockmeyer 219