Abstract

AQUINO, N. The hydrogen atom with an origin centred singularity. Rev. mex. fis. [online]. 2011, vol.57, n.1, pp.65-67. ISSN 0035-001X.

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.

Keywords : Confined hydrogen atom; energy eigenvalues; eigenfunctions.

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