



Introduction to Computational Methods in Many Body
Physics
eds. Michael
Bonitz and Dirk Semkat 
416 pages 10x7 inches
Jan
2006 Hardcover
ISBN 1589490096
US$88 

Buy It 

This book presents an
introduction to some of the most advanced and powerful
numerical methods currently available to simulate
manyparticle systems. The problems treated include
equilibrium and nonequilibrium properties of systems
(both classical and quantum) and the interaction of
charged particles with electromagnetic fields. Among the
computational methods presented are classical and
path integral Monte Carlo, classical, quantum and
relativistic kinetic equations, molecular dynamics and
particle in cell simulations, density functional and
lattice gauge theory approaches. Written by experts in
computational physics and specialists in a variety of
fields, this introductory book has almost everything
needed to start programming, with many little details
that are usually omitted in original literature.
graduate students, teachers, researchers, engineers, who
are interested in numerical modeling. 
Chapter 1. Introduction (by Michael Bonitz)
1.1 Preliminary remarks
1.2 Density operator Von Neumann equation
1.3 Solution of the von Neumann/Liouville equation
1.4 BBGKYhierarchy
1.5 Basic representations of the hierarchy
1.6 Relation to equilibrium correlation functions
References
Part I: Dynamics of Classical Manyparticle
Systems
Chapter 2. Classical Particle Simulations (by Hartmut Ruhl)
2.1 Synopsis
2.2 Introduction
2.3 The physics model
2.4 The numerical approach
2.5 The simulation code PSC
2.6 Examples
2.7 Summary
2.8 The open source project PSC
References
Part II: Correlated Quantum Systems in
Equilibrium and Nonequilibrium
Chapter 3. Density
Functional Theory (by George F. Bertsch and
Kazuhiro Yabana)
3.1 Introduction
3.2 What is density functional theory?
3.3 KohnSham theory
3.4 Numerical methods for the KohnSham equation
3.5 Some applications and limitations of DFT
3.6 Limitations of DFT
3.7 Timedependent density functional theory: the
equations
3.8 TDDFT: numerical aspects
3.9 Applications of TDDFT
References

Chapter 4.
Generalized Quantum Kinetic Equations (by
Dirk Semkat and Michael Bonitz) 4.1
Introduction
4.2 Idea of second quantization
4.3 Realtime Green's functions
4.4 Derivation of the KadanoffBaym/Keldysh
equations
4.5 Singletime kinetic equations
4.6 Numerical procedure
4.7 Numerical Results
4.8 Interband KadanoffBaym equations
4.9 Survey of numerical applications to other
systems
Appendix: selfenergy in Tmatrix approximation
References
Part III: Firstprinciple Approaches
to Correlated Quantum Systems
Chapter 5. Classical and Quantum Monte
Carlo Methods (by Alexei Filinov and
Michael Bonitz)
5.1 Classical systems and the Monte Carlo method
5.2 Path Integral Monte Carlo
ReferencesChapter 6.
Quantum Molecular Dynamics (by Alexei Filinov,
Vladimir Filinov, Yurii Lozovik and Michael
Bonitz)
6.1 Introduction
6.2 Quantum distribution functions
6.3 Quantum dynamics I: Method of Wigner
trajectories
6.4 Quantum dynamics II: Monte Carlo approach to
ensembles of quantum trajectories
6.5 Wigner function in the canonical ensemble
References
Access to program examples
Subject
Index 

All authors are theoretical physicists with extensive
experience in ManyBody Physics and in Computational
Physics.
George Bertsch works in quantum manyparticle
theory, nuclear physics, clusters, nanoscale electronic
systems. He is one of the pioneers of timedependent
density functional theory. He is a full professor and
senior fellow at the Physics Department of the
University of Washington, Seattle. He has been the
editor of the Reviews of Modern Physics for many years.
Among his many honors are the 2004 Bonner prize of the
APS and a honorary doctoral degree of the University of
Milan.
http://gene.phys.washington.edu/~bertsch/
Michael Bonitz (born 1960) has expertise in
plasma physics, semiconductor physics, statistical
physics. He is a C4professor at the University Kiel,
Germany. He is recipient of the Gustav Hertz Prize of
the German Physical Society and author and editor of
five books on classical and quantum kinetic theory.
http://www.theophysik.unikiel.de/~bonitz/
Alexei Filinov (born 1975) received his PhD for a
thesis on quantum Monte Carlo and quantum Molecular
Dynamics Simulations. He is a Research Assistant at Kiel
University at the Chair of Michael Bonitz.
Vladimir Filinov (born 1944) was among the first
who applied path integral Monte Carlo methods in plasma
physics. He developed an original method of Wigner
function quantum Molecular Dynamics. He is group leader
at the High Energy Density Institute of the Russian
Academy of Sciences, Moscow, author of a monograph,
coauthor of three books and was visiting professor at
Rostock University.
Yurii Lozovik (born 1937) is a leading expert in solid
state physics, in particular semiconductor physics. He
is a full professor at the Moscow PhysicalTechnical
University and Department head at the Institute of
Spectroscopy of the Russian Academy of Sciences in
Troitsk, Moscow Region. He is coauthor of seven books.
http://www.isan.troitsk.ru/eng/eflns.htm
Hartmut Ruhl (born 1963) is an expert in plasma
physics and high intensity lasermatter interaction. He
has pioneered relativistic Vlasov simulations and full
threedimensional relativistic particleincell
simulations of plasmas. He is a C3professor at the Ruhr
University Bochum, Germany.
http://www.uv.ruhrunibochum.de/
pvzplanung/i3v/00032900/03986222.htm
Dirk Semkat (born 1973) received his PhD for a
thesis on Nonequilibrium Green's functions. He works in
plasma physics and quantum kinetic theory at Rostock
University, Germany.
Kazuhiro Yabana (born 1960) works in
computational manyparticle physics, nuclear physics,
atomic and molecular physics, and optical science. He is
a full professor at the Center for Computational
Sciences of the University of Tsukuba. He has pioneered
a realtime, realspace electron dynamics simulation in
the timedependent densityfunctional theory.
http://wwwnucl.ph.tsukuba.ac.jp/~yabana/
Rinton Editor's note: Congratulations
to Prof./Dr. M Bonitz for wining the 2002
GustavHertz prize of the German Physical Society.



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