Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation
arXiv:cond-mat/9711140 · doi:10.1103/PhysRevA.57.4669
Abstract
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.
23 pages, Latex, 6 figures