A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation
[For part I see ibid. 152, 203-219 (1984; Zbl 0545.34018).] A new class of angular momentum-dependent potentials with varying depths and shapes is considered in this paper, in connection with the three- dimensional Schrödinger equation with an effective mass. The author has been able to solve for the eigenfunctions, eigenenergies and scattering function in closed form in terms of known special functions.
scientific article; zbMATH DE number 4065439