# The Coulomb potential in quantum mechanics revisited

@article{Othman2016TheCP, title={The Coulomb potential in quantum mechanics revisited}, author={Anas Othman and Marc de Montigny and Frank Marsiglio}, journal={American Journal of Physics}, year={2016}, volume={85}, pages={346-351} }

The procedure commonly used in textbooks for determining the eigenvalues and eigenstates for a particle in an attractive Coulomb potential is not symmetric in the way the boundary conditions at r = 0 and r → ∞ are considered. We highlight this fact by solving a model for the Coulomb potential with a cutoff (representing the finite extent of the nucleus). In the limit that the cutoff is reduced to zero, we recover the standard result, albeit in a non-standard way. This example is used to…

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## References

SHOWING 1-2 OF 2 REFERENCES

### Quantisation as a Problem of Proper Values (Part I)

- 1928