Monday, September 13, 2021

Eigenstates for a Hydrogen Atom Confined to an Infinite Spherical Potential Well

 

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Apart from its intrinsic interest, the problem of a confined hydrogen atom was motivated by an attempt to model the effects of high pressure on a physical system. It is also relevant to quantum dots and white dwarfs. Among the many approaches to the problem have been numerical solutions, perturbation calculations and variational methods [1–3].

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Contributed by: S. M. Blinder (November 2018)
Open content licensed under CC BY-NC-SA

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References

[1] C. Laughlin, B. L. Burrows and M. Cohen, "A Hydrogen-Like Atom Confined within an Impenetrable Spherical Box," Journal of Physics B: Atomic, Molecular and Optical Physics, 35(3), 2002 pp. 701–715. doi:10.1088/0953-4075/35/3/320.

[2] ‪S. H. Patil and Y. P. Varshni‬, "Properties of Confined Hydrogen and Helium Atoms," Advances in Quantum Chemistry, Vol. 57 (J. Sabin and E. Brandas, eds.), Amsterdam: Elsevier Academic Press, 2009 pp. 1–24 and references cited therein. doi:10.1016/S0065-3276(09)00605-4.

[3] S. H. Patil, "Wavefunctions for the Confined Hydrogen Atom Based on Coalescence and Inflexion Properties," Journal of Physics B: Atomic, Molecular and Optical Physics, 35(2), 2002 pp. 255–266. stacks.iop.org/0953-4075/35/i=2/a=305.

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 https://demonstrations.wolfram.com/EigenstatesForAHydrogenAtomConfinedToAnInfiniteSphericalPote/

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