Phy5646/An Example of spontaneous emission calculation: Difference between revisions

Revision as of 15:45, 24 April 2010

(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 $2p\rightarrow 1s$

@@ Line 4: / Line 4: @@
 '''Problem:'''
-Find the transition rate of spontaneous emission for a hydrogen atom in the first excited state
+Find the transition rate of spontaneous emission for a hydrogen atom in the first excited state.
 '''Solution:'''
-(a) To first order we need to calculate <math>{H}^' = q\mathcal{E}\langle n|x|n\rangle</math>. It is easy to show that <math>\langle n|x|n\rangle = 0</math>. One way is to use the relation
+The transition rate for <math>2p \rightarrow 1s</math>