ON THE DERIVATION OF BOUND STATE WAVEFUNCTIONS OF HYDROGEN ATOM USING PARABOLIC COORDINATES

Abstract

In this article, we introduce a rigorously mathematical procedure to analytically derive the bound state wavefunctions of hydrogen atom by utilization of parabolic coordinates. The general form of the bound state wavefunctions in these coordinates is presented, then the transformation of wavefunctions from parabolic coordinates to well-known spherical coordinates for states with principle quantum number n = 1 and 2 is also considered for validating our calculation.