The time evolution of single proton quasi-stationary states emitted from ax
ially deformed nuclei is studied by solving numerically the two-dimensional
time dependent Schrodinger equation. Angular distributions of emission wit
h respect to the nuclear axis of symmetry are obtained. It is shown that th
e main escape paths are determined by the quantum numbers of the metastable
state, rather than by the deformation of the potential. Combinations of su
ch numerical studies of multidimensional quantum tunneling and angular dist
ribution measurements from oriented deformed nuclei could provide invaluabl
e nuclear structure information and imaging of Nilsson orbitals.