Phy5646/An Example of spontaneous emission calculation: Difference between revisions
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(New page: Submitted by Team 1) This example was taken from "Theory and Problems of Quantum Mechanics", Yoaf Peleg, <i>et al</i>, p. 298.) |
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Submitted by Team 1) | (Submitted by Team 1) | ||
This example was taken from "Theory and Problems of Quantum Mechanics", Yoaf Peleg, <i>et al</i>, p. 298. | This example was taken from "Theory and Problems of Quantum Mechanics", Yoaf Peleg, <i>et al</i>, p. 298. | ||
'''Problem:''' | |||
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 | |||
Revision as of 15:41, 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:
(a) To first order we need to calculate . It is easy to show that . One way is to use the relation
