Multidimensional hydrogenic states: position and momentum expectation values

  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},
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
Momentum disequilibrium and quantum entanglement of Rydberg multidimensional states
The quantum entanglement of the two components of a hydrogenic system with dimensionality $$D\ge 2$$ is investigated for the ground and excited states from first principles, that is, in terms of theExpand
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The spreading of the stationary states of the multidimensional single-particle systems with a central potential is quantified by means of Heisenberg-like measures and entropy-like quantities of position and momentum probability densities and stressed on the uncertainty relations. Expand


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