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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…
quant-ph2024
The Hellmann-Feynman theorem and the spectrum of some Hamiltonian operators
Paolo Amore, Francisco M. Fernández
In this short note we resort to the well known Hellmann-Feynman theorem to prove that some non-relativistic Hamiltonian operators support an infinite number of bound states.