Solution of Coulomb path integral in momentum space

@article{Kleinert1999SolutionOC,
  title={Solution of Coulomb path integral in momentum space},
  author={H. Kleinert},
  journal={Physics Letters A},
  year={1999},
  volume={252},
  pages={277-280}
}
The path integral for a point particle in a Coulomb potential is solved in momentum space. The solution permits us to answer for the first time an old question of quantum mechanics in curved spaces raised in 1957 by DeWitt: The Hamiltonian of a particle in a curved space must not contain an additional term proportional to the curvature scalar R, since this would change the level spacings in the hydrogen atom. 
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For a more recent and detailed discussion of the problem see Chapters 10 and 11 in the textbook [1]
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For older treatments see the review
  • For older treatments see the review
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