Pseudopotential in resonant regimes
其他凝聚态物理
2009-11-11 v3
摘要
The zero-range potential approach is extended for the description of situations where two-body scattering is resonant in arbitrary partial waves. The formalism generalizes the Fermi pseudopotential which can be used only for s-wave broad resonances. In a given channel, the interaction is described either in terms of a contact condition on the wave function or with a family of pseudopotentials. We show that it is necessary to introduce a regularized scalar product for wave functions obtained in the zero-range potential formalism (except for the Fermi pseudopotential). This metrics shows that the geometry of these Hilbert spaces depends crucially on the interaction.
引用
@article{arxiv.cond-mat/0508120,
title = {Pseudopotential in resonant regimes},
author = {Ludovic Pricoupenko},
journal= {arXiv preprint arXiv:cond-mat/0508120},
year = {2009}
}
备注
12 pages - 1 figure