Uncertainty Principle and lifetime

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SUMMARY

The discussion focuses on the relationship between the time spread (∆t) and the lifetime of an excited state (Γ) as described in the context of the energy-time uncertainty principle. Participants reference HyperPhysics and Wikipedia to clarify why ∆t is equated to Γ. The consensus is that this equivalence is rooted in the fundamental principles of quantum mechanics, specifically how uncertainty in energy correlates with uncertainty in time.

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  • Understanding of quantum mechanics principles
  • Familiarity with the energy-time uncertainty principle
  • Knowledge of excited states in quantum systems
  • Basic grasp of mathematical notation used in physics
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Niles
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Hi all

Please take a look here (just read the first paragraph): http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/parlif.html

I am a little uncertain of why it is that we equal the spread in time ∆t to the lifetime of the excited state (in the above link they denote the lifetime by Γ). What allows us to do this?
 
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