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Advanced Quantum Mechanics, Dyson 2nd Edition Dyson高等量子力学
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Advanced Quantum Mechanics, Dyson 2nd Edition About the Author： Freeman Dyson is Professor Emeritus at the Institute for Advanced Study in Princeton. He is the author of eight books and the recipient of numerous awards including the Enrico Fermi Award by the U.S. Department of Energy in 1995 and the 2000 Templeton Prize for Progress in Religion.  Contents: Introduction: Books Subject Matter Detailed Program One-Particle Theories The Dirac Theory: The Form of the Dirac Equation Lorentz Invariance of the Dirac Equation To Find the S The Covariant Notation Conservation Laws. Existence of Spin Elementary Solutions The Hole Theory Positron States Electromagnetic Properties of the Electron The Hydrogen Atom Solution of Radial Equation Behaviour of an Electron in a Non-Relativistic Approximation Summary of Matrices in the Dirac Theory in Our Notation Summary of Matrices in the Dirac Theory in the Feynman Notation Scattering Problems and Born Approximation: General Discussion Projection Operators Calculation of Traces Scattering of Two Electrons in Born Approximation. The Møller Formula Relation of Cross-sections to Transition Amplitudes Results for Møller Scattering Note on the Treatment of Exchange Effects Relativistic Treatment of Several Particles Field Theory: Classical Relativistic Field Theory Quantum Relativistic Field Theory The Feynman Method of Quantization The Schwinger Action Principle Examples of Quantized Field Theories: The Maxwell Field Theory of Line Shift and Line Width Field Theory of the Dirac Electron, Without Interaction Field Theory of Dirac Electron in External Field Field Theory of Dirac and Maxwell Fields Free Particle Scattering Problems: Møller Scattering of Two Electrons Scattering of a Photon by an Electron. The Compton Effect. Klein-Nishina Formula Two Quantum Pair Annihilation Bremsstrahlung and Pair Creation in the Coulomb Field of an Atom General Theory of Free Particle Scattering: The Reduction of an Operator to Normal Form Feynman Graphs Feynman Rules of Calculation The Self-Energy of the Electron Second-Order Radiative Corrections to Scattering The Treatment of Low-Frequency Photons. The Infra-Red Scattering by a Static Potential. Comparison with Experimental Results: The Magnetic Moment of the Electron Relativistic Calculation of the Lamb Shift Renowned physicist and mathematician Freeman Dyson is famous for his work in quantum mechanics, nuclear weapons policy and bold visions for the future of humanity. In the 1940s, he was responsible for demonstrating the equivalence of the two formulations of quantum electrodynamics - Richard Feynman's diagrammatic path integral formulation and the variational methods developed by Julian Schwinger and Sin-Itiro Tomonoga -showing the mathematical consistency of QED. This invaluable volume comprises the legendary lectures on quantum electrodynamics first given by Dyson at Cornell University in 1951. The late theorist Edwin Thompson Jaynes once remarked, "For a generation of physicists they were the happy medium: clearer and better motivated than Feynman, and getting to the point faster than Schwinger". This edition has been printed on the 60th anniversary of the Cornell lectures, and includes a foreword by science historian David Kaiser, as well as notes from Dyson's lectures at the Les Houches Summer School of Theoretical Physics in 1954. The Les Houches lectures, described as a supplement to the original Cornell notes, provide a more detailed look at field theory, a careful and rigorous derivation of Fermi's Golden Rule, and a masterful treatment of renormalization and Ward's Identity. Future generations of physicists are bound to read these lectures with pleasure, benefiting from the lucid style that is so characteristic of Dyson's exposition. |
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