Schrodinger equation for hydrogen-like atoms

The standard approach to solving the Schrodinger equation for hydrogen-like atoms involves transforming it from Cartesian (x, y, z) to polar coordinates (r, 6, (p), since these accord more naturally with the spherical symmetry of the system. This makes it possible to separate the equation into three simpler equations, /(r) = 0, f(9) = 0, and /(0) = 0. Solution of the f[r) equation gives rise to the n quantum number, solution of the f(9) equation to the / quantum number, and solution of the f(quantum number. For each specific n = n, l = V and... 

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