Atomic electron transition: Difference between revisions

Revision as of 01:04, 24 January 2024

Revision as of 01:14, 24 January 2024

Line 14:

== Theory ==

Consider anAn atom interactinginteracts with anthe oscillating electric field produced by electromagnetic radiation:

{{NumBlk|:|<math> E(t) = |\textbf{E}_0| Re( e^{-i{\omega}t} \hat{\textbf{e}}_{rad} )</math>|{{EquationRef|1}}}}

with amplitude <math>|\textbf{E}_0|</math>, angular frequency <math>\omega</math>, and polarization vector <math>\hat{\textbf{e}}_{rad}</math>.<ref>{{Cite book|title=Atomic Physics|author=Foot, CJ|year=2004|

Line 24:

\textbf{r} \cdot \hat{\textbf{e}}_{rad} |1 \rang |^2

</math>

The dipole matrix element can be decomposedecomposed into the product of the radial integral and the angular integral. The angular integral is zero unless the [[selection rules]] for the atomic transition are satisfied.

== Recent discoveries ==