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Computational Physics

Simulation of Classical and Quantum Systems

  • Philipp O.J. Scherer

Part of the Graduate Texts in Physics book series (GTP)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Numerical Methods

    1. Front Matter
      Pages 1-1
    2. Philipp O. J. Scherer
      Pages 3-16
    3. Philipp O. J. Scherer
      Pages 17-38
    4. Philipp O. J. Scherer
      Pages 39-46
    5. Philipp O. J. Scherer
      Pages 47-61
    6. Philipp O. J. Scherer
      Pages 63-96
    7. Philipp O. J. Scherer
      Pages 97-127
    8. Philipp O. J. Scherer
      Pages 129-143
    9. Philipp O. J. Scherer
      Pages 145-186
    10. Philipp O. J. Scherer
      Pages 187-211
    11. Philipp O. J. Scherer
      Pages 213-234
    12. Philipp O. J. Scherer
      Pages 235-253
    13. Philipp O. J. Scherer
      Pages 255-287
    14. Philipp O. J. Scherer
      Pages 289-321
  3. Simulation of Classical and Quantum Systems

    1. Front Matter
      Pages 323-323
    2. Philipp O. J. Scherer
      Pages 325-349
    3. Philipp O. J. Scherer
      Pages 351-367
    4. Philipp O. J. Scherer
      Pages 369-383
    5. Philipp O. J. Scherer
      Pages 385-398
    6. Philipp O. J. Scherer
      Pages 399-425
    7. Philipp O. J. Scherer
      Pages 427-454
    8. Philipp O. J. Scherer
      Pages 455-478
    9. Philipp O. J. Scherer
      Pages 479-491
    10. Philipp O. J. Scherer
      Pages 493-516
    11. Philipp O. J. Scherer
      Pages 517-574
    12. Philipp O. J. Scherer
      Pages 575-603
  4. Back Matter
    Pages 605-633

About this book

Introduction

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 bounda

ry 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. The wavelet transformation method has been included as well as simple applications to continuum mechanics and convection-diffusion problems. Lastly, elementary quantum many-body problems demonstrate the application of variational and Monte-Carlo methods. 

Keywords

Understanding Computer Simulation Inhomogeneous Linear Equations Simulation of Classical and Quantum Systems Teacher Simulation Methods Textbook on Computational Physics Textbook on Numerical Methods

Authors and affiliations

  • Philipp O.J. Scherer
    • 1
  1. 1.Physikdepartment T38Technische Universität MünchenGarchingGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-61088-7
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-61087-0
  • Online ISBN 978-3-319-61088-7
  • Series Print ISSN 1868-4513
  • Series Online ISSN 1868-4521
  • Buy this book on publisher's site