Fermi golden rule

E914952

physical law quantum mechanical formula transition rate formula

The Fermi golden rule is a fundamental quantum mechanical formula that gives the transition rate between energy states due to a weak perturbation, widely used to describe processes like spontaneous emission and scattering.

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All labels observed (2)

Label	Occurrences
Fermi golden rule canonical	1
Fermi’s golden rule	1

Statements (49)

Predicate	Object
instanceOf	physical law ⓘ quantum mechanical formula ⓘ transition rate formula ⓘ
appliesTo	weak perturbations ⓘ
approximationType	first-order approximation ⓘ
assumes	continuum of final states ⓘ weak coupling between initial and final states ⓘ
basedOn	time-dependent perturbation theory ⓘ
describes	transition rate between quantum states ⓘ
expresses	probability per unit time of a transition ⓘ
field	quantum mechanics ⓘ theoretical physics ⓘ
hasForm	transition rate proportional to \|⟨f\|V\|i⟩\|² ρ(Ef) ⓘ
historicalPeriod	20th century ⓘ
involvesQuantity	Dirac delta function for energy conservation ⓘ squared modulus of the matrix element ⓘ
namedAfter	Enrico Fermi NERFINISHED ⓘ
relatedTo	Born approximation NERFINISHED ⓘ Einstein A coefficient NERFINISHED ⓘ Einstein B coefficients NERFINISHED ⓘ Fermi’s golden rule in many-body theory NERFINISHED ⓘ S-matrix theory NERFINISHED ⓘ
relates	transition rate to density of final states ⓘ transition rate to matrix element of perturbation ⓘ
symbolUses	density of states ρ(E) ⓘ final state \|f⟩ ⓘ initial state \|i⟩ ⓘ perturbation operator V ⓘ
usedFor	decay processes ⓘ electron-phonon interactions ⓘ nuclear decay rates ⓘ optical absorption ⓘ phonon scattering ⓘ scattering processes ⓘ spontaneous emission ⓘ stimulated emission ⓘ transition probabilities in atoms ⓘ transition probabilities in molecules ⓘ transition probabilities in solids ⓘ tunneling transitions ⓘ
usedIn	atomic physics ⓘ condensed matter physics ⓘ molecular physics ⓘ nuclear physics ⓘ particle physics ⓘ quantum optics ⓘ solid-state physics ⓘ
validWhen	first-order perturbation theory is adequate ⓘ perturbation is time-independent or slowly varying ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Purcell effect → relatedTo → Fermi golden rule ⓘ

Kramers–Heisenberg dispersion formula → relatedTo → Fermi golden rule ⓘ

this entity surface form: Fermi’s golden rule