Phy5646/An Example of spontaneous emission calculation

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(Submitted by Team 1)

This example was taken from "Theory and Problems of Quantum Mechanics", Yoaf Peleg, et al, p. 298.

Problem: Find the transition rate of spontaneous emission for a hydrogen atom in the first excited state.


Solution: The transition rate for Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2p \rightarrow 1s} is given by

Failed to parse (unknown function "\c"): {\displaystyle \Gamma_{1s2p} = \frac{4}{3}\frac{e^{2}\omega^{3}_{21}}{\hbar\c^{3}} }