Simplified contact pseudopotential for anisotropic interactions of polarized particles under harmonic confinement

dc.creatorDerevianko, Andrei
dc.date2008-07-19
dc.date.accessioned2026-07-07T09:51:44Z
dc.date.available2026-07-07T09:51:44Z
dc.descriptionMotivated by the recent progress in cooling and trapping polar molecules, we present a simplified version of the rigorous contact pseudopotential for anisotropically-interacting polarized particles [A. Derevianko, Phys. Rev. A 67, 033607 (2003); Phys. Rev. A 72, 039901(E) (2005)]. The simplifications are carried out for a practically important case of harmonically confined particles described by sufficiently smooth wavefunctions. The resulting contact pseudo-potential depends on the K-matrix of the underlying scattering process and is represented as a sum over pairs of partial waves coupled by the collision. The contribution of each pair of the coupled waves (l and l') involves a tensor product of derivatives of orders l and l'. The asymmetry in the derivatives reflects the anisotropy of the original interaction potential: there is a preferential appearance of the derivatives along the polarizing field.
dc.identifierhttps://arxiv.org/abs/0807.3111
dc.identifierhttp://arxiv.org/abs/0807.3111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165350
dc.subjectQuantum Physics
dc.titleSimplified contact pseudopotential for anisotropic interactions of polarized particles under harmonic confinement
dc.typetext

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