From Short-Range to Contact Interactions in the 1d Bose Gas
Mathematical Physics
2020-06-24 v1 math.MP
Abstract
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 approximate this Hamiltonian in norm resolvent sense by Schr\"odinger operators with rescaled two-body potentials, and we estimate the rate of this convergence.
Cite
@article{arxiv.1908.05705,
title = {From Short-Range to Contact Interactions in the 1d Bose Gas},
author = {Marcel Griesemer and Michael Hofacker and Ulrich Linden},
journal= {arXiv preprint arXiv:1908.05705},
year = {2020}
}
Comments
23 pages