R. Seiringer

Search this author in Google Scholar

Articles: 1

On contact interactions as limits of short-range potentials

Gerhard Bräunlich, Christian Hainzl, Robert Seiringer

MFAT 19 (2013), no. 4, 364-375

364-375

We reconsider the norm resolvent limit of $-\Delta + V_\ell$ with $V_\ell$ tending to a point interaction in three dimensions. We are mainly interested in potentials $V_\ell$ modelling short range interactions of cold atomic gases. In order to ensure stability the interaction $V_\ell$ is required to have a strong repulsive core, such that $\lim_{\ell \to 0} \int V_\ell >0$. This situation is not covered in the previous literature.

All Issues

2023 1-2 3-4
2022 1 2 3 4
2021 1 2 3 4
2020 1 2 3 4
2019 1 2 3 4
2018 1 2 3 4
2017 1 2 3 4
2016 1 2 3 4
2015 1 2 3 4
2014 1 2 3 4
2013 1 2 3 4
2012 1 2 3 4
2011 1 2 3 4
2010 1 2 3 4
2009 1 2 3 4
2008 1 2 3 4
2007 1 2 3 4
2006 1 2 3 4
2005 1 2 3 4
2004 1 2 3 4
2003 1 2 3 4
2002 1 2 3 4
2001 1 2 3 4
2000 1 2 3 4
1999 1 2 3 4
1998 1 2 3 4
1997 1 2 3 4
1996 1 2 3
1995 1