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Theory of a dilute low-temperature trapped Bose condensate
Alexander L. Fetter
This set of four lectures reviews various aspects of the theory of a dilute low-temperature trapped Bose gas, starting with (I) a review of the Bogoliubov description of the elemen…
Stability of a Vortex in a Trapped Bose-Einstein Condensate
Anatoly A. Svidzinsky, Alexander L. Fetter
Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Bo…
Vortex Stability in a Trapped Bose Condensate
Alexander L. Fetter
A vortex in a trapped Bose-Einstein condensate can experience at least two types of instabilities. (1). Macroscopic hydrodynamic motion of the vortex core relative to the center of…
Normal Modes of a Vortex in a Trapped Bose-Einstein Condensate
Anatoly Svidzinsky, Alexander Fetter
A hydrodynamic description is used to study the normal modes of a vortex in a zero-temperature Bose-Einstein condensate. In the Thomas-Fermi (TF) limit, the circulating superfluid…