An introduction to quantum Monte Carlo methods / Tao Pang.Material type: TextSeries: IOP (Series). Release 3. | IOP concise physicsPublisher: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, Distributor: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, Description: 1 electronic document (various pagings) : illustrationsContent type: text Media type: electronic Carrier type: online resourceISBN: 9781681741093; 9781681742373Subject(s): Monte Carlo method | Quantum chemistry | Quantum Physics | SCIENCE / Physics / Quantum TheoryAdditional physical formats: Print version:: No titleDDC classification: 541/.28 LOC classification: QD462.6.M66 | P365 2016ebOnline resources: Click here to access online Also available in print.
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"Version: 20161201"--Title page verso.
"A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.
Includes bibliographical references.
Preface -- 1. Introduction -- 1.1. Sampling -- 1.2. Random-number generators
2. The Metropolis algorithm -- 2.1. Importance sampling -- 2.2. Classical liquids -- 2.3. Block algorithms
3. Variational Monte Carlo -- 3.1. Variational principle -- 3.2. The Metropolis step -- 3.3. Kinetic energy and wavefunction -- 3.4. Quantum dots
4. Diffusion Monte Carlo -- 4.1. The algorithm -- 4.2. Evaluation of physical quantities -- 4.3. 4He clusters on a graphite surface
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.
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.
Physicists (researchers and students), materials scientists.
Also available in print.
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader, EPUB reader. or Kindle reader.
Tao Pang is Professor of Physics at the University of Nevada, Las Vegas (UNLV). Following his higher education at Fudan University, one of the most prestigious institutions in China, he obtained his PhD in condensed matter theory from the University of Minnesota in 1989. He then spent two years as a Miller Research Fellow at the University of California, Berkeley, before joining the UNLV physics faculty in the fall of 1991. He has been Professor of Physics at UNLV since 2002. His main areas of research include condensed matter theory and computational physics.
Title from PDF title page (viewed on January 13, 2017).