Condensed Matter Theory

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

Author(s): Martin Block, Martin Holthaus

Title:
Pseudopotential approximation in a harmonic trap

Date of Upload:
2002-09-03

Article:
Phys. Rev. A 65, 052102 (2002), APS

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)


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