# Heidelberg 2015 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# Q: Fachverband Quantenoptik und Photonik

## Q 42: Quantum Effects: QED II

### Q 42.1: Vortrag

### Mittwoch, 25. März 2015, 14:30–14:45, B/SR

**Solutions of the Dirac equation for space-time dependent fields via an inverse approach** — •Johannes Oertel and Ralf Schützhold — Universität Duisburg-Essen

Solving the Dirac equation is crucial for the understanding of pair creation via the Sauter-Schwinger effect in space-time dependent fields. However, for the very few exact solutions known today, the field often depends on one variable (e.g., space or time) only. By swapping the roles of known and unknown quantities in the Dirac equation, we are able to generate families of solutions of the Dirac equation in the presence of space-time dependent electromagnetic fields. Using this inverse approach, solutions with an electromagnetic field depending on either one of the light cone coordinates or both can be found in 1+1 and 2+1 dimensions.