Abstract
We investigate the low-energy excitation spectrum of a Bose gas confined in a trap, with weak long-range repulsive interactions. In particular, we prove that the spectrum can be described in terms of the eigenvalues of an effective one-particle operator, as predicted by the Bogoliubov approximation.
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Grech, P., Seiringer, R. The Excitation Spectrum for Weakly Interacting Bosons in a Trap. Commun. Math. Phys. 322, 559–591 (2013). https://doi.org/10.1007/s00220-013-1736-8
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DOI: https://doi.org/10.1007/s00220-013-1736-8