Phys. Rev. Lett. 91, 070403 (2003) [4 pages]Levinson-Like Theorem for Scattering from a Bose-Einstein CondensateReceived 11 April 2003; published 15 August 2003 A relation between the number of bound elementary 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 generalizes 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.91.070403
DOI:
10.1103/PhysRevLett.91.070403
PACS:
03.75.Hh, 03.65.Nk, 34.50.–s
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