The three-body pseudo-potential for atoms confined in one dimension
Quantum Gases
2019-01-30 v1 Quantum Physics
Abstract
Following a strong analogy with two-dimensional physics, the three-body pseudo-potential in one dimension is derived. The Born approximation is then considered in the context of ultracold atoms in a linear harmonic waveguide. In the vicinity of the dimer threshold a direct connection is made between the zero-range potential and the dimensional reduction of the three-body Schr{\"o}dinger equation.
Keywords
Cite
@article{arxiv.1806.07600,
title = {The three-body pseudo-potential for atoms confined in one dimension},
author = {Ludovic Pricoupenko},
journal= {arXiv preprint arXiv:1806.07600},
year = {2019}
}