  Solution of the momentum space Schr\"odinger equation in the case of deformed
fields is being addressed. In particular it is shown that a complete set of
single particle states which includes bound, resonant and complex continuum
states may be obtained by the Contour Deformation Method. This generalized
basis in the complex energy plane is known as a Berggren basis. The momentum
space Schr\"odinger equation is an integral equation which is easily solved by
matrix diagonalization routines even for the case of deformed fields. The
method is demonstrated for axial symmetry and a fictitious "deformed $^5$He",
but may be extended to more general deformation and applied to truly deformed
halo nuclei.
