Uncertainty Relation for the Radial Momentum and Radial Coordinate in the Coulomb Potential

Abstract

We have obtained the uncertainty relations for arbitrary states of the hydrogen atom. It is shown that the minimal value of the uncertainty relation (Δp_rΔr → ħ2) is attained for the circular Rydberg states.

Original language	English
Pages (from-to)	476-478
Number of pages	3
Journal	Journal of Experimental and Theoretical Physics
Volume	127
Issue number	3
DOIs	https://doi.org/10.1134/S1063776118090042
Publication status	Published - 1 Sep 2018

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Uncertainty Relation for the Radial Momentum and Radial Coordinate in the Coulomb Potential",

abstract = "We have obtained the uncertainty relations for arbitrary states of the hydrogen atom. It is shown that the minimal value of the uncertainty relation (ΔprΔr → ħ2) is attained for the circular Rydberg states.",

author = "Ishkhanyan, {A. M.} and Krainov, {V. P.}",

year = "2018",

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doi = "10.1134/S1063776118090042",

language = "English",

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T1 - Uncertainty Relation for the Radial Momentum and Radial Coordinate in the Coulomb Potential

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AU - Krainov, V. P.

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N2 - We have obtained the uncertainty relations for arbitrary states of the hydrogen atom. It is shown that the minimal value of the uncertainty relation (ΔprΔr → ħ2) is attained for the circular Rydberg states.

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Uncertainty Relation for the Radial Momentum and Radial Coordinate in the Coulomb Potential

Abstract

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