Describes the use of the symbolic manipulation language REDUCE in particle physics.
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This book describes the use of the symbolic manipulation language REDUCE in particle physics. REDUCE is introduced in examples from classical physics, before challenging problems in quantum mechanics, QED, weak interactions, QCD, and radiative corrections are tackled. Many program listings, worked examples, problems, and references are also included. All example programs from the book can be downloaded via Internet, from http://www.inp.nsk.su/~grozin/book/.
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.
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