A Levinson theorem for scattering from a Bose-Einstein condensate

Preprint

24 April 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0304546

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.

Keywords

EINSTEIN CONDENSATE
LEVINSON'S THEOREM
BOGOLIUBOV MODEL
BOSE EINSTEIN
PHASE SHIFT
SCATTERED

All Related Versions

Version 1, 2003-04-24, ArXiv
Published version: Physical Review Letters, 91 (7), 070403.

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