You can plot the continuum function for various choices of , 𝓁, and . The asymptotic form for large approaches a spherical wave of the form . The terms in the argument of cos, in addition to , represent the phase shift with respect to the free particle. Coulomb scattering generally involves a significant number of partial waves.

A checkbox lets you compare the lowest-energy bound state with the same 𝓁, that is, the wavefunctions for , , , ⋯ (magnified by a factor of for better visualization). The solution, obtained as the limit of the discrete function as or of the continuum function as , has the form of a Bessel function: .