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Fermi's Golden Rule

From Biocrawler, the free encyclopedia.

Fermi's golden rule is a way to calculate the transition rate between two states of a system using perturbation theory, which means it's an approximation. The transition probability per unit of time is given by:

$\lambda_{i,f}= \frac{2 \pi} {\hbar} \delta(E_f-E_i) \left | <f|V|i > \right |^{2} \rho$

where ρ is the density of final states, δ is the Dirac delta function, and < f | V | i > is the matrix element (in bra-ket notation) of the potential, V, between the final and initial states.

Although named after Enrico Fermi, most of the work leading to the Golden Rule was done by Dirac.

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External links

More information on Fermi's golden rule (http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/fermi.html)

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