Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation

Details Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation

1997-11-14

arxiv.org/abs/cond-mat/9711140v1

Physics

Condensed Matter

23 pages, Latex, 6 figures

Scientific paper

10.1103/PhysRevA.57.4669

The Bogoliubov equations of the quasi-particle excitations in a weakly interacting trapped Bose-condensate are solved in the WKB approximation in an isotropic harmonic trap, determining the discrete quasi-particle energies and wave functions by torus (Bohr-Sommerfeld) quantization of the integrable classical quasi-particle dynamics. The results are used to calculate the position and strengths of the peaks in the dynamic structure function which can be observed by off-resonance inelastic light-scattering.

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