Donnerstag, 18.07.2019: Summary of the Marie Curie Project ‚Multi-Time Integral Equations‘
Dr. Matthias Lienert
Here I will report on the outcomes and work in progress of the project ‚Interacting Relativistic Quantum Dynamics via Multi-Time Integral Equations‘. The basic idea is that a multi-time wave function psi(x_1,...,x_N) with x_i in spacetime allows to define a quantum analog of direct interactions along light cones. This, in turn, might avoid problems with ultraviolet divergences and lead to a consistent interacting relativistic dynamics (as direct interactions do in classical physics). After recalling the basic motivation, I will give an overview of work within the three project areas: 1. proofs of existence and uniqueness of solutions, 2. conservation laws for and probabilistic meaning of multi-time wave functions, and 3. the classical limit of multi-time integral equations. Furthermore (time permitting), I will also mention unforeseen further results in the project which relate to the general topic of multi-time wave functions, such as interior boundary conditions for multi-time wave functions and contact interactions between electrons and photons.
| Uhrzeit: |
16:15 |
| Ort: |
N14 |
| Gruppe: |
Oberseminar Mathematische Physik |
| Einladender: |
Keppeler, Porta, Teufel, Tumulka |
