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Calculating Lifetimes in a Three-Level System with Einstein A & B Coefficients?
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[QUOTE="bananabandana, post: 5492371, member: 490819"] Ah,okay, so lifetimes are generally defined to only involve the Einstein ##A## coefficients. So I can just ignore completely ##\psi_{A} \rightarrow \psi_{B}##? I wasn't sure the question implied that... I guess if it does: $$ \frac{dN_{A}}{dt} = -A_{ac}N_{A} $$ $$ \frac{dN_{B}}{dt} = -A_{bc} N_{B} $$ Implying that ## \lambda_{a} = A_{ac}## ##\lambda_{b} = A_{bc}##. We know that ## \frac{1}{\tau} = \lambda## where ##\tau ## is the lifetime, so: $$ \frac{\tau_{A}}{\tau_{C}} = 2 $$ and then the information about the matrix element is completely redundant? It's that simple?? [Edit : I mean, it tells us the same thing] Thanks! [/QUOTE]
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Calculating Lifetimes in a Three-Level System with Einstein A & B Coefficients?
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