Aarhus Universitets segl

Existence of ground states in translation-invariant non-relativistic QED

Oliver Siebert (Jena University)
Torsdag 25. oktober 2018 14:15–15:00 Building 1540, room K32.
Mat/Fys-seminar
We consider a translation-invariant non-relativistic QED model describing an electron interacting with a quantized electromagnetic field. Due to the translation-invariance one obtains a Hamiltonian for each fixed total momentum. For zero total momentum we show the existence of a ground state for all values of the coupling constant using a compactness argument. In the case of non-zero momentum one has to pass to a coherent state representation in order that a ground state exists. Then we can prove the same result for almost all total momenta being small enough.
Kontakt: Jacob Schach Møller Revideret: 12.10.2018