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


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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.

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A. Ishkhanyan

Russian-Armenian University; Tomsk Polytechnic University

Email: vpkrainov@mail.ru
亚美尼亚, Yerevan, 0051; Tomsk, 634050

V. Krainov

Moscow Institute of Physics and Technology (State University)

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Email: vpkrainov@mail.ru
俄罗斯联邦, Dolgoprudnyi, Moscow oblast, 141700

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