Coulomb wave function

The Coulomb wave functions are solutions to the Schrödinger equation for a particle subject to a Coulomb potential, which is the potential energy associated with the interaction between charged particles. This potential is typically represented as \( V(r) = -\frac{Ze^2}{r} \), where \( Z \) is the atomic number (or effective charge), \( e \) is the elementary charge, and \( r \) is the distance from the charge.