Complex Quantum Systems: Analysis Of Large Coulomb Systems, 1st Edition

  • Published By: World Scientific Publishing Company
  • ISBN-10: 981446015X
  • ISBN-13: 9789814460156
  • DDC: 530.1433
  • Grade Level Range: College Freshman - College Senior
  • 304 Pages | eBook
  • Original Copyright 2013 | Published/Released January 2015
  • This publication's content originally published in print form: 2013

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This volume is based on lectures given during the program Complex Quantum Systems held at the National University of Singapores 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.

Table of Contents

Front Cover.
Half Title Page.
Other Frontmatter.
Title Page.
Copyright Page.
1: Stability of Matter.
2: Mathematical Density and Density Matrix Functional Theory (DFT and DMFT).
3: On the Dynamics of a Fermi Gas in a Random Medium with Dynamical Hartree Fock Interactions.
4: On the Minimization of Hamiltonians Over Pure Gaussian States.
5: Variational Approach to Electronic Structure Calculations on Second-Order Reduced Density Matrices and the N-Representability Problem.
6: Fermionic Quantum Many-Body Systems: A Quantum Information Approach.
7: Hydrogen-Like Atoms in Relativistic QED.