The Coulomb potential in quantum mechanics revisited

  title={The Coulomb potential in quantum mechanics revisited},
  author={Anas Othman and Marc de Montigny and Frank Marsiglio},
  journal={American Journal of Physics},
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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