Evolution from 3-D to 2-D of a confined hydrogen atom dipole dependent properties when compressed by two parallel planes

Abstract The confinement of an atom by two parallel planes produces changes in the spectra and dipole-dependent electronic properties when evolving from large—3-D—to narrow—2-D—inter-plane separation. In this work, the behavior of the dipole electronic properties of a hydrogen atom located half the distance between two impenetrable parallel planes is studied as a function of the inter-plane separation using the energies and wave functions reported previously by the author [Physica Scripta 99 , 065416 (2024)]. The evolution of the line intensities, transition rates, life times, polarizability, and the mean excitation energy are reported as a function of the inter-plane separation. We find that as the inter-plane separation is reduced, all the electronic properties are affected by the shifting of the electronic spectra towards the short wave-length region (EUV) with a boost of the photo-luminosity intensity, reduction of the static polarizability and life-time of the 2 s and 2 p states, increase of the mean excitation energy, and transition rates for characteristic plane separations. Our numerical results agree, in the limiting cases, to the analytical solutions for a free atom for large inter-plane separations and to those of a 2-D atom for small inter-plane separation, as well as to available experimental data.