On a generalized Kepler–Coulomb system: Interbasis expansions
On a generalized Kepler–Coulomb system: Interbasis expansions
Abstract This article deals with a dynamical system that generalizes the Kepler–Coulomb system and the Hartmann system. It is shown that the Schrödinger equation for this generalized Kepler–Coulomb system can be separated in prolate spheroidal coordinates. The coefficients of the interbasis expansions between three bases (spherical, parabolic, and spheroidal) are …