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An introduction to quantum Monte Carlo methods
Title statement An introduction to quantum Monte Carlo methods / Tao Pang. [elektronický zdroj] Publication San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2016] Distribution Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2016] Phys.des. 1 electronic document (various pagings) : illustrations. ISBN 9781681742373 mobi 9781681741093 (online) Edition IOP concise physics, ISSN 2053-2571 [IOP release 3] Note "A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso. "Version: 20161201"--Title page verso. Internal Bibliographies/Indexes Note Includes bibliographical references. Contents Preface -- 1. Introduction -- 1.1. Sampling -- 1.2. Random-number generators Content note 5. Path-integral Monte Carlo -- 5.1. Introduction -- 5.2. The propagation of a quantum state -- 5.3. Single-particle system -- 5.4. Quantum many-body systems -- 5.5. Physical properties of extended systems -- 5.6. Cold atoms.. 4. Diffusion Monte Carlo -- 4.1. The algorithm -- 4.2. Evaluation of physical quantities -- 4.3. 4He clusters on a graphite surface. 3. Variational Monte Carlo -- 3.1. Variational principle -- 3.2. The Metropolis step -- 3.3. Kinetic energy and wavefunction -- 3.4. Quantum dots. 2. The Metropolis algorithm -- 2.1. Importance sampling -- 2.2. Classical liquids -- 2.3. Block algorithms Notes to Availability Přístup pouze pro oprávněné uživatele Audience Physicists (researchers and students), materials scientists. Note Požadavky na systém: Adobe Acrobat Reader, EPUB reader. or Kindle reader.. Způsob přístupu: World Wide Web. Another responsib. Institute of Physics (Great Britain), Morgan & Claypool Publishers, Subj. Headings SCIENCE / Physics / Quantum Theory. * Quantum Physics. * Quantum chemistry. * Monte Carlo method. Form, Genre elektronické knihy electronic books Country Kalifornie Language angličtina Document kind Electronic books URL Plný text pro studenty a zaměstnance UPOL book
Monte Carlo methods have been very prominent in computer simulation of various systems in physics, chemistry, biology, and materials science. This book focuses on the discussion and path-integral quantum Monte Carlo methods in many-body physics and provides a concise but complete introduction to the Metropolis algorithm and its applications in these two techniques. To explore the schemes in clarity, several quantum many-body systems are analysed and studied in detail. The book includes exercises to help digest the materials covered. It can be used as a tutorial to learn the discussion and path-integral Monte Carlo or a recipe for developing new research in the reader's own area. Two complete Java programs, one for the discussion Monte Carlo of 4He clusters on a graphite surface and the other for the path-integral Monte Carlo of cold atoms in a potential trap, are ready for download and adoption.
5. Path-integral Monte Carlo -- 5.1. Introduction -- 5.2. The propagation of a quantum state -- 5.3. Single-particle system -- 5.4. Quantum many-body systems -- 5.5. Physical properties of extended systems -- 5.6. Cold atoms.4. Diffusion Monte Carlo -- 4.1. The algorithm -- 4.2. Evaluation of physical quantities -- 4.3. 4He clusters on a graphite surface3. Variational Monte Carlo -- 3.1. Variational principle -- 3.2. The Metropolis step -- 3.3. Kinetic energy and wavefunction -- 3.4. Quantum dots2. The Metropolis algorithm -- 2.1. Importance sampling -- 2.2. Classical liquids -- 2.3. Block algorithmsPreface -- 1. Introduction -- 1.1. Sampling -- 1.2. Random-number generators
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