Forest FermiGoldenRule Notes

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Fermi's Golden rule is used to calculate the probability (per unit time) of a quantum mechanical transition between two quantum states. Although Fermi first coined the term "Golden Rule", Dirac developed most of the machinery.

[math]| M_{i,f}| ^2 = \int \psi_i^{*} H_{pert} \psi_f dv[/math]

where

[math]\psi_i[/math] = initial quantum state of the system
[math]\phi_f[/math] = final quantum state of system after a transition
[math]H_{pert}[/math] = part of the Hamiltonian which is responsible for the transition.
[math]dv[/math] integration over all space