Abstract
We construct the pseudopotential for two particles subjected to an isotropic harmonic trapping potential while interacting through a hard-sphere potential, and demonstrate that this trap pseudopotential reduces to the standard “zero range” interaction when the ratio of the hard-sphere diameter and the oscillator length is small. We also show that the standard approximation, even when applied to tight traps, is surprisingly accurate.
- Received 6 December 2001
DOI:https://doi.org/10.1103/PhysRevA.65.052102
©2002 American Physical Society