Structure of The Eigenfunctions
The eigenfunctions of the Schrödinger equation have the form
in which the spherical polar angles θ and φ represent the colatitude and azimuthal angle, respectively. The last two factors of ψ are often grouped together as spherical harmonics, so that the eigenfunctions take the form
The differential equation which characterizes the function is called the radial equation.
Read more about this topic: Particle In A Spherically Symmetric Potential
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