The long-wavelength spectrum of vortex waves in a Bose?Einstein condensate

摘要: Here we consider vibrations of a single quantum vortex in Bose–Einstein condensate. Two different dispersion relations can be found the literature; remove contradiction on basis both numerical and analytical considerations. The outcome is that frequency vibrations, ω, proportional to k2 ln (1/k), where k wavenumber, assumed small compared inverse core size. An extension phase integral approximation used analyses.