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


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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 (ΔprΔrħ2) is attained for the circular Rydberg states.

About the authors

A. M. Ishkhanyan

Russian-Armenian University; Tomsk Polytechnic University

Email: vpkrainov@mail.ru
Armenia, Yerevan, 0051; Tomsk, 634050

V. P. Krainov

Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: vpkrainov@mail.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700

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