Quasiparticle 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 approximation in an isotropic harmonic trap, determining the discrete quasiparticle energies and wave functions by torus (Bohr-Sommerfeld) quantization of the integrable classical quasiparticle 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.