Atomic Transition Probabilities

The probabilities of atomic transitions F e − F g = ± 2 between a ground F g and an excited F e level of the D 2 line of any alkali metal atom are zero when no external magnetic field is applied. In an external magnetic field in the range of 0.1–3 kG, the probabilities of these transitions called magnetically induced (MI) are highly modified. For MI transitions, we previously exhibited the following rule: the probabilities of MI transitions with Δ F = + 2 are maximal when using σ + -polarized laser radiation, while the probabilities of MI transitions with Δ F = − 2 are maximal when using σ − -polarized laser radiation. This difference has been termed type 1 MI circular dichroism. It is demonstrated for the first time, to our knowledge, that for alkali atoms with a nuclear spin I = 3 / 2 ( 87 R b , 39 K , 23 N a , 7 L i ) in magnetic fields > 100 G , the probability of the strongest σ + MI transition of the group F g = 1 → F e = 3 ′ (transition | 1 , − 1 ⟩ → | 3 ′ , 0 ′ ⟩ ) is about four times higher than the probabilities of the strongest MI σ − -transitions | 1 , − 1 ⟩ → | 3 ′ , − 2 ′ ⟩ and | 2 , + 1 ⟩ → | 0 ′ , 0 ′ ⟩ . These properties make the σ + MI transition | 1 , − 1 ⟩ → <mThe probabilities of atomic transitions F e − F g = ± 2 between a ground F g and an excited F e level of the D 2 line of any alkali metal atom are zero when no external magnetic field is applied. In an external magnetic field in the range of 0.1–3 kG, the probabilities of these transitions called magnetically induced (MI) are highly modified. For MI transitions, we previously exhibited the following rule: the probabilities of MI transitions with Δ F = + 2 are maximal when using σ + -polarized laser radiation, while the probabilities of MI transitions with Δ F = − 2 are maximal when using σ − -polarized laser radiation. This difference has been termed type 1 MI circular dichroism. It is demonstrated for the first time, to our knowledge, that for alkali atoms with a nuclear spin I = 3 / 2 ( 87 R b , 39 K , 23 N a , 7 L i ) in magnetic fields > 100 G , the probability of the strongest σ + MI transition of the group F g = 1 → F e = 3 ′ (transition | 1 , − 1 ⟩ → | 3 ′ , 0 ′ ⟩ ) is about four times higher than the probabilities of the strongest MI σ − -transitions | 1 , − 1 ⟩ → | 3 ′ , − 2 ′ ⟩ and | 2 , + 1 ⟩ → | 0 ′ , 0 ′ ⟩ . These properties make the σ + MI transition | 1 , − 1 ⟩ → <m

arXiv:2112.07351Journal of the Optical Society of America BFeb 10, 20228 citations

Derivation of the dipole approximation from the exact transition probabilities for hydrogen atoms

H. E. Moses

The usual dipole approximation for the transition probabilities for hydrogen atoms is derived from the exact transition probabilities by considering $j=1$ photons only, neglecting retardation, and using an identity derived from the wave equation for the radial wave function for the atom.The usual dipole approximation for the transition probabilities for hydrogen atoms is derived from the exact transition probabilities by considering $j=1$ photons only, neglecting retardation, and using an identity derived from the wave equation for the radial wave function for the atom.

Physical Review AJun 1, 19752 citations

The usual dipole approximation for the transition probabilities for hydrogen atoms is derived from the exact transition probabilities by considering

j=1

photons only, neglecting retardation, and using an identity derived from the wave equation for the radial wave function for the atom.