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 |
How this entity was disambiguated
This entity first appeared as the object of triple T3572524 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Born series Context triple: [Born approximation, relatedTo, Born series]
-
A.
Nova series
The Nova series is a line of mid-range to upper mid-range smartphones by Huawei, known for stylish designs, strong selfie cameras, and youth-oriented features.
-
B.
Fred Saberhagen's Berserker series
Fred Saberhagen's Berserker series is a classic science fiction saga about relentless, self-replicating machines bent on exterminating all life in the galaxy.
-
C.
Lensman series
The Lensman series is a classic space opera saga by E. E. "Doc" Smith, renowned for its galaxy-spanning conflicts, telepathic super-agents, and foundational influence on modern science fiction.
-
D.
Dragonriders of Pern
Dragonriders of Pern is a long-running science fantasy book series by Anne McCaffrey (later continued by her son Todd) that follows telepathically bonded dragonriders defending the planet Pern from a deadly extraterrestrial threat called Thread.
-
E.
Dark Star Trilogy
Dark Star Trilogy is an epic fantasy series by Jamaican author Marlon James that blends African mythology, political intrigue, and literary experimentation.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Born series Target entity description: The Born series is a perturbative expansion in quantum scattering theory that expresses the scattering amplitude as an infinite series of successive interaction terms.
-
A.
Nova series
The Nova series is a line of mid-range to upper mid-range smartphones by Huawei, known for stylish designs, strong selfie cameras, and youth-oriented features.
-
B.
Fred Saberhagen's Berserker series
Fred Saberhagen's Berserker series is a classic science fiction saga about relentless, self-replicating machines bent on exterminating all life in the galaxy.
-
C.
Lensman series
The Lensman series is a classic space opera saga by E. E. "Doc" Smith, renowned for its galaxy-spanning conflicts, telepathic super-agents, and foundational influence on modern science fiction.
-
D.
Dragonriders of Pern
Dragonriders of Pern is a long-running science fantasy book series by Anne McCaffrey (later continued by her son Todd) that follows telepathically bonded dragonriders defending the planet Pern from a deadly extraterrestrial threat called Thread.
-
E.
Dark Star Trilogy
Dark Star Trilogy is an epic fantasy series by Jamaican author Marlon James that blends African mythology, political intrigue, and literary experimentation.
- F. None of above. chosen
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 |
S-matrix
ⓘ
surface form:
T-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 in scattering theory
ⓘ
surface form:
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
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Born series Description of subject: The Born series is a perturbative expansion in quantum scattering theory that expresses the scattering amplitude as an infinite series of successive interaction terms.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Born approximation