Quantum Electrodynamics

this Textbook On Quantum Electrodynamics Is A Thorough Introductory Text Providing All Necessary Mathematical Tools Together With Many Examples And Worked Problems. In Their Presentation Of The Subject The Authors Adopt A Heuristic Approach Based On The Propagator Formalism. The Latter Is Introduced In The First Two Chapters In Both Its Nonrelativistic And Relativistic Versions. Subsequently, A Large Number Of Scattering And Radiation Processes Involving Electrons, Positrons, And Photons Are Introduced And Their Theoretical Treatment Is Presented In Great Detail. Higher Order Processes And Renormalization Are Also Included. The Book Concludes With A Discussion Of Two-particle States And The Interaction Of Spinless Bosons. This Completely Revised And Corrected New Edition Provides Several Additions To Enable Deeper Insight In Formalism And Application Of Quantum Electrodynamics. Quantum Electrodynamics, Fourth Edition......Page 1 front-matter......Page 2 Foreword to Earlier Series Editions......Page 6 Preface to the Fourth Edition......Page 8 Preface to the Third Edition......Page 9 Preface to the Second Edition......Page 10 Preface to the First Edition......Page 11 Contents......Page 14 Contents of Examples and Exercises......Page 16 Introduction......Page 18 The Nonrelativistic Propagator......Page 19 Green's Function and Propagator......Page 20 An Integral Equation for psi......Page 23 Application to Scattering Problems......Page 29 The Unitarity of the S Matrix......Page 37 Symmetry Properties of the S Matrix......Page 38 The Green's Function in Momentum Representation......Page 40 Another Look at the Green's Function......Page 46 Biographical Notes......Page 55 The Propagators for Electrons and Positrons......Page 56 Coulomb Scattering of Electrons......Page 94 Scattering of an Electron off a Free Proton: The Effect of Recoil......Page 113 Scattering of Identical Fermions......Page 148 Electron-Positron Scattering......Page 156 Scattering of Polarized Dirac Particles......Page 167 Bremsstrahlung......Page 174 Compton Scattering - The Klein-Nishina Formula......Page 194 Annihilation of Particle and Antiparticle......Page 207 Biographical Notes......Page 256 Summary: The Feynman Rules of QED......Page 259 The Feynman Rules of QED in Momentum Space......Page 260 The Photon Propagator in Different Gauges......Page 264 Biographical Notes......Page 269 Electron-Positron Scattering in Fourth Order......Page 270 Vacuum Polarization......Page 272 Self-Energy of the Electron......Page 306 The Vertex Correction......Page 313 Biographical Notes......Page 342 The Bethe-Salpeter Equation......Page 344 Biographical Notes......Page 374 Quantum Electrodynamics of Strong Fields......Page 375 Strong Fields in Atoms......Page 378 Strong Fields in Heavy Ion Collisions......Page 406 The Effective Lagrangian of the Electromagnetic Field......Page 416 Biographical Notes......Page 438 Quantum Electrodynamics of Spinless Bosons......Page 439 The Klein-Gordon Equation......Page 440 The Feynman Propagator for Scalar Particles......Page 441 The Scattering of Spin-0 Bosons......Page 443 The Feynman Rules of Scalar Electrodynamics......Page 448 Appendix......Page 455 Subject Index......Page 457 We are pleased by the positive resonance of our book which now necessitates a fourth edition. We have used this opportunity to implement corrections of misprints and amendments at several places, and to extend and improve the discussion of many of the exercises and examples. We hope that our presentation of the method of equivalent photons (Example 3. 17), the form factor of the electron (Example 5. 7), the infrared catastrophe (Example 5. 8) and the energy shift of atomic levels (Example 5. 9)arenow even better to understand. The new Exercise 5. 10 shows in detail how to arrive at the non-relativistic limit for the calculation of form factors. Moreover, we have brought up-to-date the Biographical Notes about physicists who have contributed to the dev- opment of quantum electrodynamics, and references to experimental tests of the t- ory. For example, there has been recent progress in the determination of the electric and magnetic form factors of the proton (discussed in Exercise 3. 5 on the Rosenbluth formula) and the Lamb shift of high-Z atoms (discussed in Example 5. 9 on the energy shift of atomic levels), while the experimental veri cation of the birefringence of the QED vacuum in a strong magnetic eld (Example 7. 8) remains unsettled and is a topic of active ongoing research. A book on Quantum Electrodynamics that provides the necessary mathematical tools together with many examples and worked problems. It introduces various number of scattering and radiation processes involving electrons, positrons, and photons; and also presents their theoretical treatment.