Larmor theorem in classical electrodynamics
E811516
The Larmor theorem in classical electrodynamics states that a charged particle in a weak, uniform magnetic field behaves as if it were in a rotating reference frame, leading to a characteristic precession of its orbital motion at the Larmor frequency.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Larmor theorem in classical electrodynamics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T9634838 — 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: Larmor theorem in classical electrodynamics Context triple: [Larmor precession, hasApproximation, Larmor theorem in classical electrodynamics]
-
A.
Larmor formula
The Larmor formula is a fundamental result in classical electrodynamics that gives the power radiated by an accelerating electric charge.
-
B.
The Classical Field Theories
The Classical Field Theories is a foundational scholarly work by Clifford Truesdell that rigorously develops the mathematical and physical principles underlying classical continuum mechanics and field theory.
-
C.
Poynting theorem
The Poynting theorem is a fundamental principle in electromagnetism that expresses the conservation of electromagnetic energy by relating the flow of energy, energy density, and work done on charges.
-
D.
A Dynamical Theory of the Electromagnetic Field
A Dynamical Theory of the Electromagnetic Field is James Clerk Maxwell’s landmark 1865 paper that mathematically formulated the classical theory of electromagnetism and introduced what are now known as Maxwell’s equations.
-
E.
The Mathematical Theory of Electricity and Magnetism
The Mathematical Theory of Electricity and Magnetism is a classic early 20th-century textbook by James Jeans that systematically develops the theoretical foundations of electromagnetism using advanced mathematical methods.
- 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: Larmor theorem in classical electrodynamics Target entity description: The Larmor theorem in classical electrodynamics states that a charged particle in a weak, uniform magnetic field behaves as if it were in a rotating reference frame, leading to a characteristic precession of its orbital motion at the Larmor frequency.
-
A.
Larmor formula
The Larmor formula is a fundamental result in classical electrodynamics that gives the power radiated by an accelerating electric charge.
-
B.
The Classical Field Theories
The Classical Field Theories is a foundational scholarly work by Clifford Truesdell that rigorously develops the mathematical and physical principles underlying classical continuum mechanics and field theory.
-
C.
Poynting theorem
The Poynting theorem is a fundamental principle in electromagnetism that expresses the conservation of electromagnetic energy by relating the flow of energy, energy density, and work done on charges.
-
D.
A Dynamical Theory of the Electromagnetic Field
A Dynamical Theory of the Electromagnetic Field is James Clerk Maxwell’s landmark 1865 paper that mathematically formulated the classical theory of electromagnetism and introduced what are now known as Maxwell’s equations.
-
E.
The Mathematical Theory of Electricity and Magnetism
The Mathematical Theory of Electricity and Magnetism is a classic early 20th-century textbook by James Jeans that systematically develops the theoretical foundations of electromagnetism using advanced mathematical methods.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
physical theorem
ⓘ
result in classical electrodynamics ⓘ |
| appliesTo |
charged particle in a uniform magnetic field
ⓘ
charged particle in a weak magnetic field ⓘ |
| assumes |
absence of electric field or slowly varying electric field
ⓘ
nonrelativistic motion ⓘ uniform magnetic field ⓘ weak magnetic field limit ⓘ |
| category |
classical mechanics and electrodynamics interface
ⓘ
electromagnetism theorem ⓘ |
| connects | magnetic field strength with angular velocity of precession ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| defines |
Larmor frequency
ⓘ
linked to:
Larmor precession
|
| describes |
motion of charged particles in magnetic fields
ⓘ
precession of the plane of a charged particle’s orbit ⓘ |
| era | late 19th century physics ⓘ |
| field | classical electrodynamics ⓘ |
| holdsIn | classical limit of electrodynamics ⓘ |
| implies | equivalence between weak uniform magnetic field and rotating frame for orbital motion ⓘ |
| influenced | development of quantum mechanical treatment of magnetic interactions ⓘ |
| involvesConcept | equivalence principle for magnetic field and rotation (in weak-field limit) ⓘ |
| involvesQuantity |
angular velocity of precession
ⓘ
charge q ⓘ magnetic field B ⓘ mass m ⓘ |
| isAnalogousTo | Larmor precession of quantum mechanical spin ⓘ |
| mathematicalForm |
ω_L = −(q B)/(2 m c) in Gaussian units for orbital motion
ⓘ
ω_L = −(q B)/(2 m) in SI units for orbital motion without c factor ⓘ |
| namedAfter | Joseph Larmor ⓘ |
| predicts |
Larmor precession
ⓘ
precession of orbital motion of a charged particle ⓘ |
| relatedConcept |
Larmor frequency
ⓘ
linked to:
Larmor precession
Larmor precession ⓘ Lorentz force ⓘ Zeeman effect ⓘ gyromagnetic ratio ⓘ magnetic moment precession ⓘ orbital angular momentum in a magnetic field ⓘ rotating reference frame ⓘ |
| relates | magnetic field to effective rotating reference frame ⓘ |
| states | a charged particle in a weak uniform magnetic field behaves as if in a rotating frame ⓘ |
| usedFor |
deriving Larmor precession of magnetic moments
ⓘ
describing orbital precession in atoms ⓘ relating magnetic field to precession frequency of angular momentum ⓘ understanding Zeeman effect qualitatively ⓘ |
| validWhen |
magnetic field varies slowly in space
ⓘ
magnetic field varies slowly in time ⓘ |
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: Larmor theorem in classical electrodynamics Description of subject: The Larmor theorem in classical electrodynamics states that a charged particle in a weak, uniform magnetic field behaves as if it were in a rotating reference frame, leading to a characteristic precession of its orbital motion at the Larmor frequency.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.