Anisotropic pseudo-potential for polarized dilute quantum gases
Abstract
Anisotropic pseudopotential relevant to collisions of two particles polarized by external field is rigorously derived and its properties are investigated. Such low-energy pseudopotential may be useful in describing collective properties of dilute quantum gases, such as molecules polarized by electric field or metastable atoms polarized by magnetic field. The pseudopotential is expressed in terms of reactance (K--) matrix and derivatives of Dirac delta-function. In most applications it may be represented as a sum of traditional spherically-symmetric contact term and anisotropic part. The former contribution may be parameterized by a generalized scattering length. The anisotropic part of pseudopotential may be characterized by off-diagonal scattering length for dipolar interactions and off-diagonal scattering volume for quadrupolar interactions. Two-body matrix element of the pseudopotential in a basis of plane waves is also derived.
Keywords
Cite
@article{arxiv.cond-mat/0212597,
title = {Anisotropic pseudo-potential for polarized dilute quantum gases},
author = {Andrei Derevianko},
journal= {arXiv preprint arXiv:cond-mat/0212597},
year = {2009}
}
Comments
1 Fig, submitted to Phys. Rev. A