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Phys. Rev. A 65, 052102 (2002) [4 pages]

Pseudopotential approximation in a harmonic trap

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Martin Block and Martin Holthaus
Fachbereich Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany

Received 6 December 2001; published 15 April 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.052102
DOI:
10.1103/PhysRevA.65.052102
PACS:
03.65.Ge, 03.65.Nk, 32.80.Pj