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quant-ph2025
Exact solutions, critical parameters and accidental degeneracy for the hydrogen atom in a spherical box
Francisco M. Fernández
We derive some properties of the hydrogen atom inside a box with an impenetrable wall that have not been discussed before. Suitable scaling of the Hamiltonian operator proves to be…
quant-ph2025
On the two-dimensional hydrogen atom in a circular box in the presence of an electric field
Paolo Amore, Francisco M. Fernández
We revisit the quantum-mechanical two-dimensional hydrogen atom with an electric field confined to a circular box of impenetrable wall. In order to obtain the energy spectrum we re…