# 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

#### 2 Citations

Momentum disequilibrium and quantum entanglement of Rydberg multidimensional states

- Physics
- 2021

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 the… Expand

Spherical-Symmetry and Spin Effects on the Uncertainty Measures of Multidimensional Quantum Systems with Central Potentials

- Computer Science, Mathematics
- Entropy
- 2021

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

#### References

SHOWING 1-10 OF 200 REFERENCES

A: Math

- Theor. 43
- 2010

C

- W. Clark (Eds), NIST Handbook of Mathematical Functions, Cambridge University Press, New York
- 2010

Phys

- 50
- 2009

Comm

- Math. Phys. 90
- 1983

A

- Mart́ınez-Finkelshtein, R. J. Yáñez, Int. J. Quant. Chem. 110
- 2010

Generalized Hypergeometric Functions (Cambridge

- 1966

d.

- Medicine
- Microbial pathogenesis
- 2021

The novel JEV RT-NASBA assay could be used as an efficient molecular biology tool to diagnose JEV, which would facilitate the surveillance of reproductive failure disease in swine and would be beneficial for public health security. Expand

Algebraic derivation of Kramers–Pasternack relations based on the Schrödinger factorization method

- Physics
- 2020

The Kramers–Pasternack relations are used to compute the moments of r (both positive and negative) for all radial energy eigenfunctions of hydrogenic atoms. They consist of two algebraic recurrence… Expand

Coulomb expectation values in
D=3
and
D=3−2ε
dimensions

- Physics
- 2020

We explore the quantum Coulomb problem for two-body bound states, in $D=3$ and $D=3-2\epsilon$ dimensions, in detail, and give an extensive list of expectation values that arise in the evaluation of… Expand

Density scaling of generalized Lennard-Jones fluids in different dimensions

- Physics
- 2020

Liquids displaying strong virial-potential energy correlations conform to an approximate density scaling of their structural and dynamical observables. These scaling properties do not extend to the… Expand