Dirac quantization condition

E566115

The Dirac quantization condition is a fundamental relation in quantum theory that requires electric and magnetic charges—such as those of hypothetical Dirac magnetic monopoles—to be quantized in discrete units.

All labels observed (1)

Label Occurrences
Dirac quantization condition canonical 6

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf physical law ⓘ
quantization condition ⓘ
quantum theory result ⓘ
theoretical physics concept ⓘ
appliesTo electric charge ⓘ
electromagnetic field ⓘ
magnetic charge ⓘ
magnetic monopoles ⓘ
appliesToTheory electrodynamics with monopoles ⓘ
gauge theory ⓘ
quantum field theory ⓘ
quantum mechanics ⓘ
assumes existence of at least one magnetic monopole ⓘ
domain particle physics ⓘ
quantum electrodynamics ⓘ
theoretical physics ⓘ
ensures single-valuedness of charged particle wavefunction ⓘ
unobservability of Dirac string ⓘ
expressedAs e g = 2π n ħ c ⓘ
formulatedBy Paul Dirac ⓘ
hasConsequence explains observed quantization of electric charge ⓘ
links topology to charge quantization ⓘ
hasMathematicalNature topological quantization condition ⓘ
implies product of electric and magnetic charges is quantized ⓘ
imposes constraint on allowed charge values ⓘ
includesParameter integer n ⓘ
influenced development of monopole solutions in non-abelian gauge theories ⓘ
integerParameterRepresents topological winding number ⓘ
motivatedBy existence of magnetic monopoles ⓘ
predicts if any magnetic monopole exists then electric charge must be quantized ⓘ
minimal magnetic charge for a given electric charge ⓘ
publishedIn Proceedings of the Royal Society A ⓘ
relatedTo Aharonov–Bohm effect ⓘ
Dirac monopole ⓘ
U(1) gauge theory ⓘ
linked to: gauge theory

fiber bundle topology ⓘ
first Chern class ⓘ
magnetic monopole ⓘ
relatesQuantity Planck constant ħ ⓘ
electric charge e ⓘ
magnetic charge g ⓘ
speed of light c ⓘ
requires quantization of electric charge ⓘ
quantization of magnetic charge ⓘ
usedIn grand unified theories ⓘ
string theory monopole solutions ⓘ
’t Hooft–Polyakov monopole analysis ⓘ
yearProposed 1931 ⓘ

How these facts were elicited

Referenced by (6)

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

Dirac magnetic monopoles → satisfies → Dirac quantization condition ⓘ
Dirac magnetic monopoles → relatedConcept → Dirac quantization condition ⓘ
't Hooft–Polyakov monopoles → magneticChargeQuantization → Dirac quantization condition ⓘ
subject linked to: ’t Hooft–Polyakov monopoles
Dirac string → relatedToConcept → Dirac quantization condition ⓘ