Quantum systems composed of N distinct particles in \$\$\backslashmathbb \R\^2\$\$with two-body contact interactions of TMS type are shown to arise as limits---in the norm resolvent sense---of Schrödinger operators with suitably rescaled pair potentials.
%0 Journal Article
%1 Griesemer2022
%A Griesemer, Marcel
%A Hofacker, Michael
%D 2022
%J Annales Henri Poincaré
%K from:katja_engstler
%N 8
%P 2769--2818
%R 10.1007/s00023-021-01149-7
%T From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems
%U https://doi.org/10.1007/s00023-021-01149-7
%V 23
%X Quantum systems composed of N distinct particles in \$\$\backslashmathbb \R\^2\$\$with two-body contact interactions of TMS type are shown to arise as limits---in the norm resolvent sense---of Schrödinger operators with suitably rescaled pair potentials.
@article{Griesemer2022,
abstract = {Quantum systems composed of N distinct particles in {\$}{\$}{\backslash}mathbb {\{}R{\}}^2{\$}{\$}with two-body contact interactions of TMS type are shown to arise as limits---in the norm resolvent sense---of Schr{\"o}dinger operators with suitably rescaled pair potentials.},
added-at = {2023-01-09T11:17:51.000+0100},
author = {Griesemer, Marcel and Hofacker, Michael},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2a2da393b984ee567e7c1e3f4b5f1a931/mathematik},
day = 01,
doi = {10.1007/s00023-021-01149-7},
interhash = {0d454f3948b7ed80ac9598aa2c13afd2},
intrahash = {a2da393b984ee567e7c1e3f4b5f1a931},
issn = {1424-0661},
journal = {Annales Henri Poincar{\'e}},
keywords = {from:katja_engstler},
month = aug,
number = 8,
pages = {2769--2818},
timestamp = {2023-01-09T10:17:56.000+0100},
title = {From Short-Range to Contact Interactions in Two-dimensional Many-Body Quantum Systems},
url = {https://doi.org/10.1007/s00023-021-01149-7},
volume = 23,
year = 2022
}