4. Ahmed Al-Jamel, Energy Spectra of Tightly Confined Systems, Applied Physics Research; Vol. 7, No. 5; 2015.

An approximate recipe to the energy eigenvalues for the problem of non-relativistic hydrogen-like atom confined in a spherical cavity of impenetrable wall is presented. The method is based on proposing an ansatz solution with a cut-off function. The asymptotic behavior of the reduced Schr?dinger equation is then considered for large ? and small ?. Some approximations are applied to deform some terms of the equation, which then allowed us to apply the Nikiforov-Uvarov method in both regions. A potential parameter ? is introduced that plays a crucial role in the calculations. In both cases, we ob