- #1
Coffee_
- 259
- 2
Fermi's golden rule contains a term that is the density of the final states ##\rho(E_{final})##. For my problem we have no time depending potentials so that's the same as ##\rho(E_{initial})##.
If I understand the definition of ##\rho## correctly, it's the number of states in an interval ##[E_{f},E{f}+dE]## divided by ##dE## which just gives ##dN/dE##.
However... what if there are infinite different states in this interval?
Example:
A -> B + C + D
The final wavefunction will be a three particle wavefunction that will be able to distribute any final energy ##E_f## in an infinite number of ways among the different particles ##B,C,D##. This would mean that ##\rho## is infinite here.
What am I missing?
If I understand the definition of ##\rho## correctly, it's the number of states in an interval ##[E_{f},E{f}+dE]## divided by ##dE## which just gives ##dN/dE##.
However... what if there are infinite different states in this interval?
Example:
A -> B + C + D
The final wavefunction will be a three particle wavefunction that will be able to distribute any final energy ##E_f## in an infinite number of ways among the different particles ##B,C,D##. This would mean that ##\rho## is infinite here.
What am I missing?