  Within the many different models that appeared with the use of cold atoms to
design BECs the bubble trap shaped potential has been of great interest. For
the anisotropic bubble trap physics in the thin-shell limit the relationship
between the physical parameters and the resulting manifold geometry is yet to
be fully understood. In this paper, we work towards this goal showing how the
parameters of the system must be manipulated in order to allow for a
non-collapsing thin-shell limit. In such a limit, a dimensional
compactification takes place thus leading to an effective 2D Hamiltonian which
relates to up-to-date bubble trap experiments. At last, our Hamiltonian is
pertubatively solved for some particular cases as applications of our theory.
