Skip to main content

Quantum Monte-Carlo Programming: For Atoms, Molecules, Clusters, and Solids

Quantum Monte-Carlo Programming: For Atoms, Molecules, Clusters, and Solids

Wolfgang Schattke, Ricardo Díez Muiño

ISBN: 978-3-527-67672-9

Jul 2013

296 pages

Description

Quantum Monte Carlo is a large class of computer algorithms that simulate quantum systems to solve many body systems in order to investigate the electronic structure of many-body systems. This book presents a numeric approach to determine the electronic structure of atoms, molecules and solids.
Because of the simplicity of its theoretical concept, the authors focus on the variational Quantum-Monte-Carlo (VQMC) scheme. The reader is enabled to proceed from simple examples as the hydrogen atom to advanced ones as the Lithium solid. Several intermediate steps cover the Hydrogen molecule, how to deal with a two electron systems, going over to three electrons, and expanding to an arbitrary number of electrons to finally treat the three-dimensional periodic array of Lithium atoms in a crystal.
The exmples in the field of VQMC are followed by the subject of diffusion Monte-Calro (DMC) which covers a common example, the harmonic ascillator.

The book is unique as it provides both theory and numerical programs. It includes rather practical advices to do what is usually described in a theoretical textbook, and presents in more detail the physical understanding of what the manual of a code usually promises as result. Detailed derivations can be found at the appendix, and the references are chosen with respect to their use for specifying details or getting an deeper understanding .

The authors address an introductory readership in condensed matter physics, computational phyiscs, chemistry and materials science. As the text is intended to open the reader's view towards various possibilities of choices of computing schemes connected with the method of QMC, it might also become a welcome literature for researchers who would like to know more about QMC methods.

The book is accompanied with a collection of programs, routines, and data. To download the codes, please follow http://www.wiley-vch.de/books/sample/3527408517_codes.tar.gz
A first monte-carlo example
Variational Quantum-Monte-Carlo for a One-Electron System
Two electrons with two adiabatically decoupled nuclei: Hydrogen molecule
Three electrons: Lithium Atom
Many- electron confined systems
Many- electron atomic aggregates: Lithium cluster
Infinite number of electrons: Lithium solid
Diffusion quantum Monte- Carlo (DQMC)

“The combination of both aspects allows the reader to assimilate the fundamentals of Quantum Monte Carlo not only by reading but also by practice.”  (ETDE Energy Database, 1 November 2013)