Advanced Quantum MechanicsWorld Scientific, 2007 - 220 էջ 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, never-before-published, 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 motivated than Feynman, and getting to the point faster than Schwinger." 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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1 Introduction | 1 |
2 The Dirac Theory | 5 |
3 Scattering Problems and Born Approximation | 31 |
4 Field Theory | 47 |
5 Examples of Quantized Field Theories | 61 |
6 Free Particle Scattering Problems | 125 |
7 General Theory of Free Particle Scattering | 145 |
8 Scattering by a Static Potential Comparison with Experimental Results | 183 |
Notes | 205 |
211 | |
215 | |
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absorption operators amplitude anticommuting atom calculation classical commutation laws commutation rules covariant cross-section d¹k d³k d³r defined Dirac equation divergent Dyson effect electrons and positrons emission energy equation of motion expectation value external potential factor Feynman field equations field operators field theory finite formula frequency function given gives Hamiltonian Hence integral interaction representation invariant Lagrangian Lamb shift line-shift Lorentz matrix element Maxwell field mc² Møller scattering momentum normal constituents notation one-electron one-particle pair particles photon Phys physical polarization positron probability amplitude quantized quantum electrodynamics radiation interaction radiative corrections relativistic renormalization satisfies scattering Schrödinger Schrödinger equation Schwinger space-time spin spinor term transition vacuum vacuum expectation value vacuum polarization vector wave-function write zero ακμ ΔΕ θαμ µ² Υλ მს