A Levinson theorem for scattering from a Bose-Einstein condensate
Soft Condensed Matter
2007-05-23 v1
Abstract
A relation between the number of bound collective excitations of an atomic Bose-Einstein condensate and the phase shift of elastically scattered atoms is derived. Within the Bogoliubov model of a weakly interacting Bose gas this relation is exact and generalises Levinson's theorem. Specific features of the Bogoliubov model such as complex-energy and continuum bound states are discussed and a numerical example is given.
Cite
@article{arxiv.cond-mat/0304546,
title = {A Levinson theorem for scattering from a Bose-Einstein condensate},
author = {J. Brand and I. Haering and J. -M. Rost},
journal= {arXiv preprint arXiv:cond-mat/0304546},
year = {2007}
}
Comments
4 pages, 3 figures