Computational physics

著者

書誌事項

Computational physics

Jos Thijssen

Cambridge University Press, 2007

2nd ed

  • : hbk
  • : pbk

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • 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.

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