Properties of quasi two-dimensional condensates in highly anisotropic   traps
  We theoretically investigate some of the observable properties of quasi two-dimensional condensates. Using a variational model based on a Gaussian-parabolic trial wavefunction we calculate chemical potential, condensate size in time-of-flight, release energy and collective excitation spectrum for varying trap geometries and atom numbers and find good agreement with recent published experimental results. 
G. Hechenblaikner, J. M. Krueger, and C. J. Foot