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[资源]
Advanced Quantum Mechanics, Dyson 2nd Edition Dyson高等量子力学
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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