Larmor theorem in classical electrodynamics

E811516

physical theorem result in classical electrodynamics

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.

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Observed surface forms (1)

Surface form	Occurrences
Larmor theorem	0

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 NERFINISHED ⓘ
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 NERFINISHED ⓘ
predicts	Larmor precession NERFINISHED ⓘ precession of orbital motion of a charged particle ⓘ
relatedConcept	Larmor frequency NERFINISHED ⓘ Larmor precession NERFINISHED ⓘ Lorentz force NERFINISHED ⓘ Zeeman effect NERFINISHED ⓘ 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 ⓘ

Referenced by (1)

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Larmor precession → hasApproximation → Larmor theorem in classical electrodynamics ⓘ