Topics in Applied Quantumelectrodynamics

ISBN-13: 9783709182499 / Angielski / Miękka / 2012 / 268 str.

Paul Urban

Opis

These lectures represent a condensation of a number of colloquia, seminars and discussions held at the Institute of Theoretical Physics of the University of Graz during the last years and epitomize the principal lines of research undertaken by my group. From the very beginning of my appointment at the University of Graz in 1947 I have been concerned with the task of bringing up a relatively small group of scientifically interested and open-minded co-workers and of stimulating them to sound scientific research. Since 1930 I myself have dealt with subjects of the kind treated in these lectures, to which I was introduced by my late friend and teacher TH. SEXL. But also as assistant and co-worker of E. FUES and R. THIRRING I frequently worked on these problems, constantly using new methods and lines of approach. During the last years of the war and the first ones afterwards Ihad the fortunate opportunity to receive many stimulating ideas and comments on my work from A. SOMMERFELD on the occasion of my frequent visits to Munich.Especially this last period, although partially connected with personal difficulties and troubles of many kinds stemming from the turbulence of lost-war readjustments, I consider to be one of the most valuable times in my life.

Spis treści

I Electron-Scattering and Nucleon Form Factors.- I. The Dirac-Foldy-Wouthuysen Transformation.- 1. The Dirac Equation.- 2. The DFW Transformation (Free Case).- 3. The Foldy-Heisenberg (F-H) Picture.- 4. The Foldy-Interaction (F-I) Picture.- 5. Connection between DFW and Lorentz Transformation.- 6. Connection between F-H and F-I Picture.- 7. Ambiguities of the F-H Picture.- 8. Application of the DFW Transformation.- Literature.- II. Determination of Proton-Form Factors Derived from Electron-Proton-Scattering.- 1. Introductory Remarks.- 2. Relativistic Electron-Proton-Scattering (Rosenbluth Formula).- 3. Electromagnetic Form Factors of the Proton.- Literature.- III. Determination of the Neutron Form Factors Derived from Quasielastic Electron-Deuteron-Scattering.- 1. Introduction.- 2. Quasielastic Electron-Deuteron-Scattering.- 3. Calculation of the Cross-Section in the Lab.-System.- 4. Influence of the Deuteron Model.- 5. Final State Corrections.- Literature.- IV. Calculation of Nucleon Form Factors in Dispersion Theory.- Literature.- II Radiative Corrections.- I. Classical Radiation of Long-Wavelength Photons.- 1. Introduction.- 2. Emission of Soft Photons.- 3. Experimental Cross-Section and Radiative Corrections.- 4. Calculations of Radiative Corrections.- II. Summation over Soft-Photon Contributions.- 1. Separation of Soft and Hard Photons.- 2. Virtual Soft Photons.- 3. Real Soft Photons.- 4. Summation over Soft Photons.- III. Radiative Corrections in the Framework of Quantumelectrodynamics.- 1. Infrared Divergences.- 2. The Canceling of Infrared Divergences.- 3. Summation of the “Infrared” Contributions.- IV. Examples.- 1. Electron-Proton-Scattering.- 2. Inelastic Electron-Scattering.- Literature.- A. The Green-Functions of the Klein-Gordon Equation and the Dirac Equation.- B. Theory of Bosons, Klein-Gordon Equation.- 1. Derivation of the Klein-Gordon Equation.- 2. Scalar Wave Functions.- 3. Wave Functions for Particles with Spin 1.- C. Theory of Fermions, Dirac Equation.- 1. Relativistic Wave-Equation for Fermions.- 2. Charge Conjugation.- 3. Solutions for a Free Particle.