Lifetime an atom can spend in an excited state

[randa177]

Can you please give me a hint to start this problem?

The Einstein Aij coefficients are related to the lifetime an atom can spend in an excited state i before going to state j. Using Heisenberg’s Uncertainty Principle, show that large values of Aij lead to line profiles with large values of (lamda)

Thanks

 

[malawi_glenn]

Heisenberg uncertainty principle: $$\Delta E \cdot \Delta t \sim \hbar$$

Let delta-t be the lifetime of the state. How is E related to lambda?

 

[randa177]

Oh, thanks a lot! That is very easy now!
Thanks
Randa