Accurate energy eigenvalues for enclosed hydrogen atom within spherical impenetrable boxes

The authors studies the hydrogen atom confined within spherical impenetrable walls. The potential in the box is the Coulombian potential and outside the box the potential is infinite. To compute the energy eigenvalues of the Schroedinger`s equations, the authors use a method proposed few years ago by Campoy and Palma to solve free quantum systems. The energy eigenvalues are computed with great accuracy for different box sizes, in addition the authors also compute few position expectation values that are related with the hyperfine splitting, nuclear magnetic shielding, polarizability, and pressure. These results are more accurate than the literature calculations. 22 refs., 1 fig., 5 tabs.

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