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Complex Quantum Systems: Analysis of Large Coulomb Systems

by Siedentop Heinz

From Coulomb systems to quantum electrodynamics

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AlbakiReads Editorial

From Coulomb systems to quantum electrodynamics

Based on lectures from a 2010 program at the National University of Singapore’s Institute for Mathematical Sciences, this volume moves from two introductory expositions on large Coulomb systems to five developments in the field. Its topics include mean field equations, effective Hamiltonians, high-precision methods in quantum chemistry, many-body approaches originating in quantum information, and semirelativistic quantum electrodynamics. The sequence gives the book a broad scope across mathematical and computational approaches to complex quantum systems, with the introductory material providing a point of entry before the more specialized subjects.

Good fit for readers who enjoy

  • Readers seeking an introduction to large Coulomb systems and related quantum theory.
  • Students or researchers interested in mathematical physics, quantum chemistry, or many-body methods.
  • Readers exploring semirelativistic quantum electrodynamics in the context of complex quantum systems.

Themes

Large Coulomb systemsMean field equations and effective HamiltoniansQuantum chemistry methodsMany-body methods and quantum informationSemirelativistic quantum electrodynamics

Based on publisher information and book metadata.

Book 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.
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