From Short-Range to Contact Interactions in the 1d Bose Gas

• Published in: arXiv.org
• Main Authors: Griesemer, Marcel, Hofacker, Michael, Linden, Ulrich
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 15.08.2019
• Subjects: Bosons; Mathematics - Mathematical Physics; Physics - Mathematical Physics; Quadratic forms

For a system of \(N\) bosons in one space dimension with two-body \(\delta\)-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...