# Schrödinger Equation for a Dirac Bubble Potential

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The Schrödinger equation has been solved in closed form for about 20 quantum-mechanical problems. This Demonstration describes one such example published some time ago. A particle moves in a potential that is zero everywhere except on a spherical bubble of radius , drawn as a red circle in the contour plots. This result has been applied to model the buckminsterfullerene molecule and also to approximate the interatomic potential in the helium van der Waals dimer .

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Contributed by: S. M. Blinder (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: contour plot of a continuum state

Snapshot 2: radial function for a bound state

Snapshot 3: contour plot of a bound state

Reference: S. M. Blinder, "Schrödinger Equation for a Dirac Bubble Potential," *Chemical Physics Letters*, 64(3), 1979 pp. 485–486.

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