Born series

E368819

The Born series is a perturbative expansion in quantum scattering theory that expresses the scattering amplitude as an infinite series of successive interaction terms.

All labels observed (1)

Label Occurrences
Born series canonical 1

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Statements (32)

Predicate Object
instanceOf concept in quantum scattering theory ⓘ
perturbative expansion ⓘ
alsoUsedIn relativistic quantum field theory scattering ⓘ
appearsIn standard quantum mechanics textbooks ⓘ
standard scattering theory monographs ⓘ
appliesTo Lippmann–Schwinger equation ⓘ
quantum scattering from a potential ⓘ
approximationOrder can be truncated at low order for weak potentials ⓘ
assumes interaction treated as perturbation of free motion ⓘ
convergenceCondition requires potential to be sufficiently weak or short-ranged ⓘ
derivedFrom Lippmann–Schwinger equation ⓘ
describes scattering amplitude ⓘ
eachTermRepresents successive interaction with the scattering potential ⓘ
expands T-matrix ⓘ
linked to: S-matrix

scattering wavefunction ⓘ
field quantum mechanics ⓘ
scattering theory ⓘ
firstTermCalled first Born approximation ⓘ
hasForm infinite series of interaction terms ⓘ
historicalContext introduced in early development of quantum scattering theory ⓘ
mathematicalObject series in powers of the interaction potential ⓘ
namedAfter Max Born ⓘ
relatedConcept Born approximation ⓘ
Dyson series ⓘ
Green’s function in scattering theory ⓘ
represents multiple scattering events ⓘ
secondTermCalled second Born approximation ⓘ
typicalDomain nonrelativistic quantum scattering ⓘ
usedFor calculating differential scattering cross sections ⓘ
calculating total scattering cross sections ⓘ
usesMethod perturbation theory ⓘ
validWhen higher-order terms are small compared to leading term ⓘ

How these facts were elicited

Referenced by (1)

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

Born approximation → relatedTo → Born series ⓘ