Dyson’s formula
E284667
Dyson’s formula is a key expression in quantum field theory that provides the perturbative expansion of time-ordered exponentials, forming the basis of the Dyson series used to compute interaction effects.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Dyson’s formula canonical | 1 |
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical formula
ⓘ
result in quantum field theory ⓘ |
| appliesTo | time-ordered exponentials of interaction Hamiltonians ⓘ |
| assumes |
existence of an interaction picture
ⓘ
time-dependent interaction Hamiltonian ⓘ |
| componentOf | standard formalism of perturbative quantum field theory ⓘ |
| describes | perturbative expansion of time-ordered exponentials ⓘ |
| field |
quantum field theory
ⓘ
theoretical physics ⓘ |
| generalizes | exponential of a time-dependent operator with non-commuting values ⓘ |
| historicalContext | introduced in the mid-20th century ⓘ |
| implies | series expansion in powers of the coupling constant ⓘ |
| involves |
interaction Hamiltonian density
ⓘ
time-ordered integrals over interaction times ⓘ time-ordering operator ⓘ |
| mathematicalForm | time-ordered exponential expressed as a time-ordered series of integrals ⓘ |
| namedAfter | Freeman Dyson ⓘ |
| provides | basis of the Dyson series ⓘ |
| relatesTo |
Feynman diagrams
ⓘ
S-matrix expansion ⓘ interaction picture ⓘ perturbation theory in quantum field theory ⓘ time-evolution operator ⓘ time-ordered products of operators ⓘ |
| usedBy |
particle physicists
ⓘ
quantum field theorists ⓘ |
| usedFor |
computing interaction effects in quantum field theory
ⓘ
expanding time-evolution operator in the interaction picture ⓘ |
| usedIn |
construction of Dyson series
ⓘ
covariant perturbation theory ⓘ derivation of perturbative S-matrix elements ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.