We compute using a microscopic mean-field theory the structure and the quasiparticle excitation spectrum of a dilute, trapped Bose-Einstein condensate penetrated by an axisymmetric vortex line. The Gross-Pitaevskii equation for the condensate and the coupled Hartree-Fock-Bogoliubov-Popov equations describing the elementary excitations are solved self-consistently using finite-difference methods. We find locally stable vortex configurations at all temperatures below Tc.
- Bose-Einstein condensation
- Finite-difference methods