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Computational Physics

Simulation of Classical and Quantum Systems

  • Textbook
  • © 2010

Overview

Authors:
  1. Philipp O. J. Scherer

    1. Physikdepartment T38, TU München, Garching, Germany

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  • Explains numerical techniques and provides many examples to which these can be applied
  • Teaches the basics of numerical methods
  • Explains the simulation of classical and quantum systems
  • Summarizes various computational methods in physics
  • Students benefit from this carefully written introduction to computational physics
  • Contains exercises and solutions to all topics
  • Provides algorithms for computer experiments
  • Includes supplementary material: sn.pub/extras

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xv
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  2. Numerical Methods

    1. Front Matter

      Pages 1-1
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    2. Error Analysis

      • Philipp O.J. Scherer
      Pages 3-14

    3. Interpolation

      • Philipp O.J. Scherer
      Pages 15-27

    4. Numerical Differentiation

      • Philipp O.J. Scherer
      Pages 29-35

    5. Numerical Integration

      • Philipp O.J. Scherer
      Pages 37-46

    6. Systems of Inhomogeneous Linear Equations

      • Philipp O.J. Scherer
      Pages 47-61

    7. Roots and Extremal Points

      • Philipp O.J. Scherer
      Pages 63-71

    8. Fourier Transformation

      • Philipp O.J. Scherer
      Pages 73-85

    9. Random Numbers and Monte Carlo Methods

      • Philipp O.J. Scherer
      Pages 87-107

    10. Eigenvalue Problems

      • Philipp O.J. Scherer
      Pages 109-115

    11. Data Fitting

      • Philipp O.J. Scherer
      Pages 117-128

    12. Equations of Motion

      • Philipp O.J. Scherer
      Pages 129-153

  3. Simulation of Classical and Quantum Systems

    1. Front Matter

      Pages 155-155
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    2. Rotational Motion

      • Philipp O.J. Scherer
      Pages 157-178

    3. Simulation of Thermodynamic Systems

      • Philipp O.J. Scherer
      Pages 179-191

    4. Random Walk and Brownian Motion

      • Philipp O.J. Scherer
      Pages 193-205

    5. Electrostatics

      • Philipp O.J. Scherer
      Pages 207-227

    6. Waves

      • Philipp O.J. Scherer
      Pages 229-242

    7. Diffusion

      • Philipp O.J. Scherer
      Pages 243-252
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Keywords

About this book

This book encapsulates the coverage for a two-semester course in computational physics. The first part introduces the basic numerical methods while omitting mathematical proofs but demonstrating the algorithms by way of numerous computer experiments. The second part specializes in simulation of classical and quantum systems with instructive examples spanning many fields in physics, from a classical rotor to a quantum bit. All program examples are realized as Java applets ready to run in your browser and do not require any programming skills.

Authors and Affiliations

  • Physikdepartment T38, TU München, Garching, Germany

    Philipp O. J. Scherer

About the author

1984 PhD in experimental and theoretical physics 1996 Habilitation in theoretical physics since 1999 lecturer at Technische Universität München (TUM) 2001 and 2003, visiting scientist at AIST, Tsukuba,Japan 2006-2008 temporary leader of the Institute for Theoretical Biomolecular Physics (T38) at TUM

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