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Electric-dipole selection rules for hydrogen

For the

z

component of position,

⟨ n^{'}, ℓ^{'}, m^{'} ∣ z ∣ n, ℓ, m ⟩ \neq = 0

requires

Δ m = 0

and

Δ ℓ = \pm 1

. The first condition follows from

[L_{z}, z] = 0

; the second follows from the vector-operator angular-momentum relation together with odd parity.

Table of contents 71 1
- Stark effect of the hydrogen ground state Electric-dipole selection rules for hydrogen 38

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