title: Simple approach for the bound-state energy spectrum of the generalized exponential-cosine Coulomb potential.
abstract: Based on the series expansion formalism, a relatively simple approach is proposed to solve the eigenvalues problems with partially screened and screened exponential-cosine Coulomb potentials. This approach is used to derive solutions to the Schrödinger equation with the two forms of potentials. The eigenenergies are explicitly deduced from solving the obtained corresponding polynomial equations. For illustration, high accuracy results have been obtained in the entire range of parameter values of these potential forms, with no constraints or adjustable constants. The present approach compares well, with existing methods, the results of which are precisely recovered as particular cases and does allow solutions to eigenvalues problems with any combination of potential parameters.
authors.affiliation: CRNA, 2 Boulevard Frantz Fanon, Boîte Postal 399, Algiers, Algeria.
authors.forename: M
authors.initials: M
authors.lastname: Moulay
authors.forename: A
authors.initials: A
authors.lastname: Mansouri
authors.forename: S
authors.initials: S
authors.lastname: Houamer