N being the normalization constant. The profile of Ψ 1 (-) (x) is displayed in figure . Thus, the 1-D H-atom has a finite energy bound ground state having odd parity as opposed to the ground state of H-atom in 3 dimensions, which is of even parity. It is not a nodeless ground state as expected in a 1-D system, but is definitely non-degenerate. The singularity at the origin has thus stamped its signature on the wave function for the ground state. Are there excited bound states as well with definite parity? Are they degenerate? We analyze these issues in the section that follows.