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On the Non-Relativistic Limit of Quantum Electrodynamics

Benjamin Hinrichs
(Jena University)
Mat/Fys-seminar
Torsdag, 25 oktober, 2018, at 13:15-14:00, Building 1540, room K32.
Abstrakt:
We consider the model of a massless bosonic photon field interacting  with a fermionic Dirac field of mass $M$ in the charge $Q = 1$ sector, described  by the self-adjoint Hamilton operator $H_M$. The non-relativistic  limit $M \to 1$ of the resolvent $(H_M-z)^{-1}$ for appropriate choice of  spectral parameter $z \in \mathbb C\setminus \mathbb R$ is studied.

We discuss the rise of the one-particle Pauli-Fierz operator as the effective  Hamilton operator in this limit. The emerging error terms as  well as their physical interpretation are also treated.
Kontaktperson: Jacob Schach Møller