The transition probability between two oscillator states m and n depends on xe³H„(x)Hm(x)dx. Show that this integral equals r/22"-!n! 8m.n=1+7/2" (n + 1)! Bm.n+1- This result shows that such transitions can occur only between states of adjacent energy levels, m =n+1.

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The transition probability between two oscillator states m and n depends on
xe³H„(x)Hm(x)dx.
Show that this integral equals r/22"-!n! 8m.n=1+7/2" (n + 1)! Bm.n+1- This result
shows that such transitions can occur only between states of adjacent energy levels,
m =n+1.
Transcribed Image Text:The transition probability between two oscillator states m and n depends on xe³H„(x)Hm(x)dx. Show that this integral equals r/22"-!n! 8m.n=1+7/2" (n + 1)! Bm.n+1- This result shows that such transitions can occur only between states of adjacent energy levels, m =n+1.
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