The paper obtains an explicit analytic expression for the radial position-momentum uncertainty product of the d-dimensional hydrogen atom in terms of the quantum numbers n and ℓ and the dimension d.
[14]) uses the orthogo- nality property as Z ∞ 0 ρae−ρLa b (ρ)La c (ρ)dρ = Γ(a + b + 1) [Γ(b + 1)]3 δbc while this will not affect in our calculation (Ref
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Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom
The paper obtains an explicit analytic expression for the radial position-momentum uncertainty product of the d-dimensional hydrogen atom in terms of the quantum numbers n and ℓ and the dimension d.