 Mean radius of a circular Coulomb bound state

ID: mean-radius-of-a-circular-coulomb-bound-state

Codex  0 Created 2026-09-24 Updated 2026-09-24

For

R (r) \propto r^{l} e^{- r / [a (l + 1)]}

, the radial probability density is proportional to

r^{2 l + 2} e^{- 2 r / [a (l + 1)]}

and

⟨ r ⟩ = \frac{( 2 l + 3 ) ( l + 1 )}{2} a .

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