2002/12/26 by Andrei Derevianko · 71 citations
Physics and Astronomy · #Anisotropy #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Materials science #Physics #Pseudopotential #Quantum #Quantum mechanics #Quantum, superfluid, helium dynamics #cond-mat.soft #physics.atom-ph
paper · pdf · doi:10.1103/physreva.67.033607
published in Physical Review A 67(3) (American Physical Society) · 1 Fig, submitted to Phys. Rev. A
arxiv created 2002/12/26 · openalex publication_date 2003/03/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An anisotropic pseudopotential arising in the context of collisions of two particles polarized by an external field is rigorously derived and its properties are investigated. Such a low-energy pseudopotential may be useful in describing collective properties of dilute quantum gases, such as molecules polarized by an electric field or metastable 3P2 atoms polarized by a magnetic field. The pseudopotential is expressed in terms of the reactance (K) matrix and derivatives of the Dirac \ensuremathδ function. In most applications, it may be represented as a sum of a traditional spherically symmetric contact term and an anisotropic part. The former contribution may be parametrized by a generalized scattering length. The anisotropic part of the pseudopotential may be characterized by the off-diagonal scattering length for dipolar interactions and off-diagonal scattering volume for quadrupolar interactions. The two-body matrix element of the pseudopotential in a basis of plane waves is also derived.