Computational Many-Particle Physics

Front Cover
Holger Fehske, Ralf Schneider, Alexander Weiße
Springer, Dec 10, 2007 - Science - 780 pages

Complicated many-particle problems abound in nature and in research alike. Plasma physics, for example, or statistical and condensed matter physics are all heavily dependent on efficient methods for solving such problems. Addressing graduate students and young researchers, this book presents an overview and introduction to state-of-the-art numerical methods for studying interacting classical and quantum many-particle systems. A broad range of techniques and algorithms are covered, and emphasis is placed on their implementation on modern high-performance computers.

 

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Contents

1 Introduction to Molecular Dynamics
3
2 Wigner Function Quantum Molecular Dynamics
41
Part II Classical Monte Carlo
61
3 The Monte Carlo Method an Introduction
62
4 Monte Carlo Methods in Classical Statistical Physics
79
5 The Monte Carlo Method for Particle Transport Problems
141
Part III Kinetic Modelling
159
6 The ParticleinCell Method
161
Part VII Effective Field Approaches
470
16 Dynamical MeanField Approximation and Cluster Methods for Correlated Electron Systems
471
17 Local Distribution Approach
505
Part VIII Iterative Methods for Sparse Eigenvalue Problems
527
18 Exact Diagonalization Techniques
528
19 Chebyshev Expansion Techniques
545
Concepts and Applications
578
20 The Conceptual Background of DensityMatrix Renormalization
579

7 Gyrokinetic and Gyrofluid Theory and Simulation of Magnetized Plasmas
190
Part IV Semiclassical Approaches
220
8 Boltzmann Transport in Condensed Matter
221
9 Semiclassical Description of Quantum ManyParticle Dynamics in Strong Laser Fields
255
Part V Quantum Monte Carlo
274
10 Worldline and Determinantal Quantum Monte Carlo Methods for Spins Phonons and Electrons
275
11 Autocorrelations in Quantum Monte Carlo Simulations of ElectronPhonon Models
357
12 Diagrammatic Monte Carlo and Stochastic Optimization Methods for Complex Composite Objects in Macroscopic Baths
367
13 Path Integral Monte Carlo Simulation of Charged Particles in Traps
396
Part VI AbInitio Methods in Physics and Chemistry
412
14 AbInitio Approach to the ManyElectron Problem
413
15 AbInitio Methods Applied to Structure Optimization and Microscopic Modelling
437
21 DensityMatrix Renormalization Group Algorithms
597
22 Dynamical DensityMatrix Renormalization Group
621
23 Studying TimeDependent Quantum Phenomenawith the DensityMatrix Renormalization Group
636
24 Applications of Quantum Information in the DensityMatrix Renormalization Group
653
Static and Dynamical Properties of 1D Quantum Systems at Finite Temperature
665
Part X Concepts of High Performance Computing
678
26 Architecture and Performance Characteristics of Modern High Performance Computers
679
27 Optimization Techniques for Modern High Performance Computers
731
Abbreviations
769
Index
773
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