QUASI-PARTICLE EXCITATIONS AND DYNAMICAL STRUCTURE-FUNCTION OF TRAPPED BOSE CONDENSATES IN THE WKB APPROXIMATION

The Bogoliubov equations of the quasiparticle excitations in a weakly interacting trapped Bose condensate are solved in the WKB approximatio n in an isotropic harmonic trap, determining the discrete quasiparticl e energies and wave functions by torus (Bohr-Sommerfeld) quantization of the integrable classical quasiparticle dynamics. The results are us ed to calculate the position and strengths: of the peaks in the dynami c structure function, which can be observed by off-resonance inelastic light scattering.