Titel: Using Reduce in High Energy Physics
Autor/en: A. G. Grozin, Grozin A. G.
CAMBRIDGE UNIV PR
Juni 2005 - kartoniert - 404 Seiten
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 http: //www.inp.nsk.su/~grozin/book/. The emphasis throughout is on learning through worked examples.
Preface; 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; References; Index.
"The book...describes the use of REDUCE, one of the most widely used computor algebra systems, in particle physics. The text is intended to be an essential introduction and reference for high energy and theoretical physicists. A broad range of solved problems also makes this book suitable for those interested in studying only selected problems for this branch of science...The book is written in very intelligible English. From the point of view of a programmer I can well appreciate the enormous amount of work that writing such a book would require...I hope the book will find readers among those interested in symbolic computations." Antonin Cejchan, Control Engineering Practice 7