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Computational Physics: Simulation of Classical and Quantum Systems

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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.

Author(s): Philipp O. J. Scherer (auth.)
Edition: 1st Edition.
Publisher: Springer Berlin Heidelberg
Year: 2010

Language: English
Pages: 336
Tags: Numerical and Computational Physics;Statistical Physics, Dynamical Systems and Complexity;Theoretical and Computational Chemistry;Computational Mathematics and Numerical Analysis;Physical Chemistry

Front Matter....Pages i-xv
Front Matter....Pages 1-1
Error Analysis....Pages 3-14
Interpolation....Pages 15-27
Numerical Differentiation....Pages 29-35
Numerical Integration....Pages 37-46
Systems of Inhomogeneous Linear Equations....Pages 47-61
Roots and Extremal Points....Pages 63-71
Fourier Transformation....Pages 73-85
Random Numbers and Monte Carlo Methods....Pages 87-107
Eigenvalue Problems....Pages 109-115
Data Fitting....Pages 117-128
Equations of Motion....Pages 129-153
Front Matter....Pages 155-155
Rotational Motion....Pages 157-178
Simulation of Thermodynamic Systems....Pages 179-191
Random Walk and Brownian Motion....Pages 193-205
Electrostatics....Pages 207-227
Waves....Pages 229-242
Diffusion....Pages 243-252
Nonlinear Systems....Pages 253-275
Simple Quantum Systems....Pages 277-308
Back Matter....Pages 309-319