EBK quantization
E814349
EBK quantization is a semiclassical method that generalizes the old Bohr–Sommerfeld quantization rules by incorporating phase corrections from classical turning points and caustics to approximate quantum energy levels in integrable systems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| EBK quantization canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9700400 — 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: EBK quantization Context triple: [Sommerfeld quantization rules, relatedTo, EBK quantization]
-
A.
Weyl quantization
Weyl quantization is a mathematical procedure in quantum mechanics that systematically associates classical observables with quantum operators in a symmetric and coordinate-independent way.
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B.
WKB
WKB (Well-Known Binary) is a compact binary format used to represent geometric objects in spatial databases and GIS systems.
-
C.
BB84 quantum key distribution protocol
The BB84 quantum key distribution protocol is a pioneering cryptographic scheme that uses quantum properties of photons to enable two parties to establish a shared secret key with security guaranteed by the laws of quantum mechanics.
-
D.
Squantum
Squantum is a coastal neighborhood of Quincy, Massachusetts, known for its residential character, waterfront views, and proximity to Boston.
-
E.
EKB
EKB is the National Rail station code for Eskbank railway station in Midlothian, Scotland.
- 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: EBK quantization Target entity description: EBK quantization is a semiclassical method that generalizes the old Bohr–Sommerfeld quantization rules by incorporating phase corrections from classical turning points and caustics to approximate quantum energy levels in integrable systems.
-
A.
Weyl quantization
Weyl quantization is a mathematical procedure in quantum mechanics that systematically associates classical observables with quantum operators in a symmetric and coordinate-independent way.
-
B.
WKB
WKB (Well-Known Binary) is a compact binary format used to represent geometric objects in spatial databases and GIS systems.
-
C.
BB84 quantum key distribution protocol
The BB84 quantum key distribution protocol is a pioneering cryptographic scheme that uses quantum properties of photons to enable two parties to establish a shared secret key with security guaranteed by the laws of quantum mechanics.
-
D.
Squantum
Squantum is a coastal neighborhood of Quincy, Massachusetts, known for its residential character, waterfront views, and proximity to Boston.
-
E.
EKB
EKB is the National Rail station code for Eskbank railway station in Midlothian, Scotland.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
quantization rule
ⓘ
semiclassical quantization method ⓘ |
| abbreviation | EBK ⓘ |
| appliesTo |
classically integrable systems
ⓘ
integrable Hamiltonian systems ⓘ |
| approximates | eigenvalues of the Schrödinger equation ⓘ |
| assumes |
existence of invariant tori in phase space
ⓘ
separability in action–angle coordinates ⓘ |
| basedOn |
action–angle variables
ⓘ
classical mechanics ⓘ |
| captures |
boundary condition phase shifts
ⓘ
topological phase information ⓘ |
| category | asymptotic method in physics ⓘ |
| developedInContextOf | old quantum theory ⓘ |
| field |
mathematical physics
ⓘ
quantum mechanics ⓘ semiclassical analysis ⓘ |
| framework | Hamiltonian mechanics ⓘ |
| fullName | Einstein–Brillouin–Keller quantization ⓘ |
| generalizes |
Bohr–Sommerfeld quantization
ⓘ
linked to:
Sommerfeld quantization rules
|
| hasQuantizationCondition | ∮ p_i dq_i = 2πħ (n_i + μ_i/4) ⓘ |
| historicalPrecursorOf | modern semiclassical quantization schemes ⓘ |
| improvesAccuracyComparedTo |
Bohr–Sommerfeld quantization
ⓘ
linked to:
Sommerfeld quantization rules
|
| incorporates |
Maslov index
ⓘ
phase corrections from caustics ⓘ phase corrections from classical turning points ⓘ |
| namedAfter |
Albert Einstein
ⓘ
Josef Maria Jauch (Keller’s collaborator contextually, but main name is Keller) ⓘ Joseph B. Keller ⓘ
linked to:
Joseph Keller
Léon Brillouin ⓘ |
| notWellSuitedFor | classically chaotic systems ⓘ |
| refines | old quantum theory ⓘ |
| relatedTo |
WKB approximation
ⓘ
action quantization ⓘ semiclassical approximation ⓘ |
| relatesQuantumNumbersTo | topology of classical phase space ⓘ |
| reliesOn | invariant tori quantization ⓘ |
| requires |
integrability of the classical system
ⓘ
knowledge of classical trajectories ⓘ |
| usedFor |
approximation of quantum energy levels
ⓘ
semiclassical spectrum calculation ⓘ |
| usedIn |
atomic physics
ⓘ
molecular spectroscopy ⓘ quantum billiards ⓘ semiclassical analysis of bound states ⓘ |
| usesQuantity |
Planck constant ħ
ⓘ
linked to:
reduced Planck constant
classical action integral ⓘ |
| validInLimit | ħ → 0 ⓘ |
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: EBK quantization Description of subject: EBK quantization is a semiclassical method that generalizes the old Bohr–Sommerfeld quantization rules by incorporating phase corrections from classical turning points and caustics to approximate quantum energy levels in integrable systems.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.