Timeline for Fermi's Golden Rule - Discrete state coupled to a continuum
Current License: CC BY-SA 4.0
5 events
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Jul 1, 2022 at 19:30 | comment | added | bdzh | Yes, but that $\Lambda$ i found before was the bandwith of the continuous spectrum, and the result you found for the the total transition rate gives the same thing. Is there any relation? | |
Jul 1, 2022 at 19:05 | comment | added | user200143 | One way to derive Fermi's golden rule is is to calculate the rate as the time derivative of the transition probability. $\frac{d}{dt} |\langle f|e^{-iHt}|i\rangle|^2$. The probability of staying in the initial state is 1 minus the sum of all transition probabilities. In lowest order this is an exponential whose Fourier transform gives a Lorentzian. So the exponential factor which gives the total transition rate gives the Lorentzian bandwidth. | |
Jul 1, 2022 at 3:02 | comment | added | bdzh | So the bandwith of the continuous spectrum is the same as the transition rate from the discrete state to the continuum? | |
Jul 1, 2022 at 3:01 | vote | accept | bdzh | ||
Jul 1, 2022 at 1:32 | history | answered | user200143 | CC BY-SA 4.0 |