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Quantum Monte Carlo Programming : for Atoms, Molecules, Clusters, and Solids / Wolfgang Schattke and Ricardo Díez Muiño.

By: Contributor(s): Material type: TextTextLanguage: English Description: xii, 279 pages : illustrations ; 24 cmISBN:
  • 9783527408511
  • 9783527408511 (print : alk. paper)
Subject(s): DDC classification:
  • 518.282 SCH
Contents:
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)
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Item type Current library Collection Call number Status Notes Date due Barcode
General Books General Books CUTN Central Library Medicine, Technology & Management Non-fiction 518.282 SCH (Browse shelf(Opens below)) Checked out to Ravindran P (PA1803) Transferred to Dr.P.Ravindran 20/05/2020 31132

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)

Includes bibliographical references (pages 269-271) and index.

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