Expressing the full width at half maximum Δω by τ

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Homework Statement



I need to express the full width at half maximum Δω as an expression in terms of τ.

Homework Equations



I'm guessing that the expression of Δω will fulfill this task.

The Attempt at a Solution



The problem is I have no idea how to go about the calculations :|
 
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Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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