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

For a system of N bosons in one space dimension with two-body δ -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 Schrödinger operators with rescaled two-body potentials, and we estimate t...

Full description

Saved in:
Bibliographic Details
Published in:Mathematical physics, analysis, and geometry analysis, and geometry, 2020-06, Vol.23 (2), Article 19
Main Authors: Griesemer, Marcel, Hofacker, Michael, Linden, Ulrich
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Bosons
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Operators (mathematics)
Physics
Physics and Astronomy
Quadratic forms
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For a system of N bosons in one space dimension with two-body δ -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 Schrödinger operators with rescaled two-body potentials, and we estimate the rate of this convergence.
ISSN:1385-0172
1572-9656
DOI:10.1007/s11040-020-09344-4