Multidimensional hydrogenic states: position and momentum expectation values

@article{Dehesa2020MultidimensionalHS,
  title={Multidimensional hydrogenic states: position and momentum expectation values},
  author={J. S. Dehesa and D. Puertas-Centeno},
  journal={Journal of Physics B: Atomic, Molecular and Optical Physics},
  year={2020},
  volume={54}
}
The position and momentum probability densities of a multidimensional quantum system are fully characterized by means of the radial expectation values ⟨r α ⟩ and pα , respectively. These quantities, which describe and/or are closely related to various fundamental properties of realistic systems, have not been calculated in an analytical and effective manner up until now except for a number of three-dimensional hydrogenic states. In this work we explicitly show these expectation values for all… Expand
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