3 papers
math-ph2019
From Short-Range to Contact Interactions in the 1d Bose Gas
Marcel Griesemer, Michael Hofacker, Ulrich Linden
For a system of bosons in one space dimension with two-body -interactions the Hamiltonian can be defined in terms of the usual closed semi-bounded quadratic form. We approxi…
math-ph2018
High Density Limit of the Fermi Polaron with Infinite Mass
Ulrich Linden, David Mitrouskas
We analyze the ground state energy for identical fermions in a two-dimensional box of volume interacting with an external point scatterer. Since the point scatterer can b…
math-ph2018
Spectral Theory of the Fermi Polaron
Marcel Griesemer, Ulrich Linden
The Fermi polaron refers to a system of free fermions interacting with an impurity particle by means of two-body contact forces. Motivated by the physicists' approach to this syste…