Computational Physics
Simulation of Classical and Quantum Systems
Authors: Scherer, Philipp O.J.
Free Preview- Teaches basic numerical methods in theoretical physics
- Features numerous computer examples, for which no programming skills are required
- Provides detailed explanations without mathematical proofs
- Discusses standard numerical methods as well as more recent developments
- Includes problems and solutions
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- About this Textbook
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This textbook presents basic numerical methods and applies them to a large variety of physical models in multiple computer experiments. Classical algorithms and more recent methods are explained. Partial differential equations are treated generally comparing important methods, and equations of motion are solved by a large number of simple as well as more sophisticated methods. Several modern algorithms for quantum wavepacket motion are compared. The first part of the book discusses the basic numerical methods, while the second part simulates classical and quantum systems. Simple but non-trivial examples from a broad range of physical topics offer readers insights into the numerical treatment but also the simulated problems. Rotational motion is studied in detail, as are simple quantum systems. A two-level system in an external field demonstrates elementary principles from quantum optics and simulation of a quantum bit. Principles of molecular dynamics are shown. Modern boundary element methods are presented in addition to standard methods, and waves and diffusion processes are simulated comparing the stability and efficiency of different methods. A large number of computer experiments is provided, which can be tried out even by readers with no programming skills. Exercises in the applets complete the pedagogical treatment in the book. In the third edition Monte Carlo methods and random number generation have been updated taking recent developments into account. Krylov-space methods for eigenvalue problems are discussed in much more detail. Short time Fourier transformation and wavelet transformation have been included as tools for time-frequency analysis.
Lastly, elementary quantum many-body problems demonstrate the application of variational and Monte-Carlo methods.
- About the authors
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Prof. Scherer received his PhD in experimental and theoretical physics in 1984. He habilitated in theoretical physics and has been a lecturer at the Technical University of Munich (TUM) since 1999. He joined the National Institute of Advanced Industrial Science and Technology (AIST) in Tsukuba, Japan, as a visiting scientist in 2001 and 2003. From 2006 to 2008 he has been temporary leader of the Institute for Theoretical Biomolecular Physics at TUM. Ever since he has been an adjunct professor at the physics faculty of TUM. His area of research includes biomolecular physics and the computer simulation of molecular systems with classical and quantum methods. He published books on theoretical molecular physics and computational physics.
- Table of contents (24 chapters)
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Error Analysis
Pages 3-16
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Interpolation
Pages 17-38
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Numerical Differentiation
Pages 39-46
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Numerical Integration
Pages 47-61
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Systems of Inhomogeneous Linear Equations
Pages 63-96
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Table of contents (24 chapters)
- Download Preface 1 PDF (102.6 KB)
- Download Sample pages 2 PDF (373.7 KB)
- Download Table of contents PDF (508 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Computational Physics
- Book Subtitle
- Simulation of Classical and Quantum Systems
- Authors
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- Philipp O.J. Scherer
- Series Title
- Graduate Texts in Physics
- Copyright
- 2017
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-319-61088-7
- DOI
- 10.1007/978-3-319-61088-7
- Hardcover ISBN
- 978-3-319-61087-0
- Softcover ISBN
- 978-3-319-87002-1
- Series ISSN
- 1868-4513
- Edition Number
- 3
- Number of Pages
- XXIV, 633
- Number of Illustrations
- 256 b/w illustrations, 50 illustrations in colour
- Topics
