First published in 2007, this second edition describes the computational methods used in theoretical physics. New sections were added to cover finite element methods and lattice Boltzmann simulation, density functional theory, quantum molecular dynamics, Monte Carlo simulation, and diagonalisation of one-dimensional quantum systems. It covers many different areas of physics research and different computational methodologies, including computational methods such as Monte Carlo and molecular dynamics, various electronic structure methodologies, methods for solving partial differential equations, and lattice gauge theory. Throughout the book the relations between the methods used in different fields of physics are emphasised. Several new programs are described and can be downloaded from www.cambridge.org/9781107677135. The book requires a background in elementary programming, numerical analysis, and field theory, as well as undergraduate knowledge of condensed matter theory and statistical physics. It will be of interest to graduate students and researchers in theoretical, computational and experimental physics.
- Electronic book text
- 06 Jun 2013
- CAMBRIDGE UNIVERSITY PRESS
- Cambridge University Press (Virtual Publishing)
- Cambridge, United Kingdom
- 2nd Revised edition
'The growing importance of computational physics to physics research as a whole will depend not only on increasingly powerful computers, but also on the continuing development of algorithms and numerical techniques for putting these machines to use. Furthermore, physics departments will need to augment their curricula to provide students with the skills needed to perform research using computers ... In Computational Physics, [Jos] Thijssen has produced a book that is well suited to meeting these needs ... This book makes it easier to approach a new topic and encourages the reader to consider a modular approach when writing programs.' Physics Today '... I find this book very useful since it provides a thorough discussion of the computational methods used in physics combined with an extensive presentation of the underlying physics ... On the one hand an experienced researcher can easily transfer the obtained knowledge from this book to a particular research topic, while on the other hand a newcomer in the field will benefit from the presentation of the subject from first principles.' Lampros Nikolopoulos, Contemporary Physics
Table of contents
1. Introduction; 2. Quantum scattering with a spherically symmetric potential; 3. The variational method for the Schroedinger equation; 4. The Hartree-Fock method; 5. Density functional theory; 6. Solving the Schroedinger equation in periodic solids; 7. Classical equilibrium statistical mechanics; 8. Molecular dynamics simulations; 9. Quantum molecular dynamics; 10. The Monte Carlo method; 11. Transfer matrix and diagonalisation of spin chains; 12. Quantum Monte Carlo methods; 13. The infinite element method for partial differential equations; 14. The lattice Boltzmann method for fluid dynamics; 15. Computational methods for lattice field theories; 16. High performance computing and parallelism; Appendix A. Numerical methods; Appendix B. Random number generators; References; Index.