Anisotropic pseudopotential for polarized dilute quantum gases

Anisotropic pseudopotential for polarized dilute quantum gases
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DOI:
10.1103/physreva.67.033607
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发表时间:
2002-12
期刊:
影响因子:
2.9
通讯作者:
A. Derevianko
A. Derevianko
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Derevianko

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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 3 P2 atoms polarized by a magnetic field. The pseudopotential is expressed in terms of the reactance ~K! matrix and derivatives of the Dirac d 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.