The hydrogen atom with an origin centred singularity
Keywords:
Confined hydrogen atom, energy eigenvalues, eigenfunctionsAbstract
We study the problem of a hydrogen atom with an infinitely repulsive singularity at the origin, in two cases: in the first, the electron is free to move throughout space, while in the other, the system is confined in a spherical box of impenetrable walls centred at the nucleus. We show that spherically symmetric $s$ states cannot exist in these systems.Downloads
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Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.