May 7, 2024

The Bose gas with a short-range impurity potential

Mathphys Analysis Seminar

Date: May 7, 2024 | 4:30 pm – 5:30 pm
Speaker: Moritz Drescher, Heidelberg University
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language: English

We consider the local perturbation of a Bose gas by an immobile impurity. We start with the simplest case of a non-interacting gas, for which the Schrödinger equation can be solved explicitly. A new method is provided, which allows to obtain many-body observables such as the spectral function. If time permits, we will eventually discuss ongoing work on the interacting gas, where a Jastrow-like ansatz hints at an anomalous scaling of the ground-state energy