Particle in A Spherically Symmetric Potential - Structure of The Eigenfunctions

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.

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