Jentschura U. Quantum Electrodynamic Bound-State Calculations and Large-Order Perturbation Theory

University of Technology, Dresden, 2004. - 124 pages.Quantum Electrodynamic Bound–State Calculations
Numerical Calculation of the One–Loop Self Energy (Excited States)
Orientation
Introduction to the Numerical Calculation of Radiative Corrections
Method of Evaluation
The Low-Energy Part
The High-Energy Part
Comparison to Analytic Calculations
Analytic Self–Energy Calculations for Excited States
Orientation
The epsilon-Method
Results for High– and Low–Energy Contributions
Summary of Results
Typical Cancellations
Observations
The Two–Loop Self–Energy
Orientation
Introduction to the Two–Loop Self–Energy
Two-loop Form Factors
High–Energy Part
Low–Energy Part52
Results for the Two–Loop Corrections
Spinless Particles in Bound–State Quantum Electrodynamics
Orientation
Introduction to Spinless QED and Pionium
Breit hamiltonian for Spinless Particles
Vacuum Polarization Effects
Effects due to Scalar QED
ED Calculations: A Summary
Convergence Acceleration and Divergent Series
Introduction to Convergence Acceleration and Divergent Series in Physics
Convergence Acceleration
The Concept of Convergence Acceleration
Applications of Convergence Acceleration Methods
Conclusions and Outlook for Convergence Acceleration
Divergent Series
Introduction to Divergent Series in Physics
The Stark Effect: A Paradigmatic Example
Further Applications of Resummation Methods
Divergent Series: Some Conclusions
Conclusions