#### Condensed Matter Theory

### Martin Block et.al.: Pseudopotential approximation in a harmonic trap

**Author(s)**:**Martin Block, Martin Holthaus****Title**:**Date of Upload**: 2002-09-03
**Article**:**Keywords**:
pseudopotential approximation, harmonic trap,
**PACS**:
03.65.Ge, 03.65.Nk, 32.80.Pj
**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.
**URL: http://www.physik.uni-oldenburg.de/condmat/Papers/p_pseudo.pdf (application/pdf, 66.3 KByte)**

**Pseudopotential approximation in a harmonic trap**

**Phys. Rev. A 65, 052102 (2002), APS**

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