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Using REDUCE in High Energy Physics


  • Author: A. G. Grozin, Budker Institute of Nuclear Physics, Novosibirsk, Russia
  • Date Published: September 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521019521

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About the Authors
  • This book describes the use of the symbolic manipulation language REDUCE in particle physics. There are several general purpose mathematics packages available to physicists, including Mathematica, Maple, and REDUCE. Each has advantages and disadvantages, but REDUCE has been found to be both powerful and convenient in solving a wide range of problems. This book introduces the reader to REDUCE and demonstrates its utility as a mathematical tool in physics. The first chapter of the book describes the REDUCE system, including some library packages. The following chapters show the use of REDUCE in examples from classical mechanics, hydrodynamics, general relativity and quantum mechanics. The rest of the book systematically presents the Standard Model of particle physics (QED, weak interactions, QCD). A large number of scattering and decay processes are calculated with REDUCE. All example programs from the book can be downloaded via Internet, from The emphasis throughout is on learning through worked examples.

    • The first book introducing the uses of REDUCE in high energy physics
    • Emphasis is on examples of real problems
    • All program listings available over Internet for this printing
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    Product details

    • Date Published: September 2005
    • format: Paperback
    • isbn: 9780521019521
    • length: 404 pages
    • dimensions: 244 x 170 x 20 mm
    • weight: 0.648kg
    • contains: 104 b/w illus. 40 music examples 40 exercises
    • availability: Available
  • Table of Contents

    Part I. REDUCE Language:
    1. Welcome to REDUCE
    2. Functions and substitutions
    3. REDUCE as a programming language
    4. Additional facilities
    5. Matrices, vectors, tensors, operators
    6. Input-output
    7. Examples
    Part II. Selected Problems in Classical Physics:
    8. The classical nonlinear operator
    9. Nonlinear water waves
    10. Calculation of the curvature tensor
    11. Examples
    Part III. Quantum Mechanics:
    12. Adding angular momenta
    13. The quantum nonlinear oscillator
    14. A rotator in a weak field
    15. Radiative transitions in charmonium
    16. Examples
    Part IV. Quantum Electrodynamics:
    17. Kinematics
    18. Fields
    19. Feynman diagrams
    20. Scattering in an external field
    21. Charged particle scattering
    22. Photon-electron scattering
    23. Positronium annihilation
    Part V. Weak Interactions:
    24. Electroweak interaction
    25. W and Z decays
    26. Weak decays
    27. W production
    Part VI. Quantum Chromodynamics:
    28. Feynman diagrams in QCD
    2.e+e- annihilation into hadrons
    29. Charmonium decays
    30. Quark and gluon scattering
    Part VII. Radiative Corrections:
    31. Dimensional regularization and renormalization
    32. Radiative corrections in quantum electrodynamics
    33. Radiative corrections in quantum chromodynamics

  • Author

    A. G. Grozin, Budker Institute of Nuclear Physics, Novosibirsk, Russia

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