Difference between revisions of "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. | 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> | + | :<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 | ||
Revision as of 03:09, 22 November 2007
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.
where
- = initial quantum state of the system
- = final quantum state of system after a transition
- = part of the Hamiltonian which is responsible for the transition.
- integration over all space