Transcription of Fermi’s Golden Rule - USTC
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Fermi s Golden RuleEmmanuel N. : 198 AbstractWe present a proof of Fermi s Golden rule from an educational perspectivewithout compromising IntroductionFermi s Golden Rule (also referred to as, theGolden Rule of time-dependentperturbation theory) is an equation for calculating transition rates. Theresult is obtained by applying the time-dependent perturbation theory to asystem that undergoes a transition from an initial state|i to a final state|f that is part of a continuum of following sections provide the calculations and notions involved inderiving the final equation, as well as some concluding remarks (synopsis).2. Time dependent perturbation theoryFor a great deal of problems the time-independent perturbation theory suf-fices. Nevertheless, there are cases in which we want to study how systemsrespond to imposed perturbations and then settle into stationary states afteran interval, in other words, study the transitions induced by a perturbationbetween stationary states of the unperturbed system.
Fermi’s Golden Rule (also referred to as, the Golden Rule of time-dependent perturbation theory) is an equation for calculating transition rates. The result is obtained by applying the time-dependent perturbation theory to a system that undergoes a transition from an initial state jii to a final state jfi that is part of a continuum of states.
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