h-bar

E143960

h-bar is the reduced Planck constant, a fundamental physical constant that characterizes the scale of quantum effects in nature.

All labels observed (1)

Label Occurrences
h-bar canonical 1

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Statements (48)

Predicate Object
instanceOf fundamental constant
physical constant
quantum constant
alsoKnownAs Dirac constant
reduced Planck constant
appearsIn Bohr model of the atom
Dirac equation
Heisenberg uncertainty principle
Klein–Gordon equation
Schrödinger equation
angular momentum quantization
canonical commutation relations
path integral formulation
spin operator eigenvalues
belongsTo International System of Units (SI)
characterizes quantization of action
quantization of angular momentum
scale of quantum effects
definedAs h / (2π)
governs phase evolution of quantum states
hasApproximateValue 1.054571817e-34 J·s
6.582119569e-16 eV·s
hasDimension action
hasDimensionSymbol M L^2 T^-1
hasSIUnit joule second
introducedBy Paul Dirac (notation)
isDefinedVia exact value of Planck constant h
isExactSince 2019-05-20
isProportionalityFactorIn E = ħω
J = Iħ for angular momentum eigenvalues
S = sħ for spin eigenvalues
p = ħk
playsRoleIn quantum chromodynamics
quantum electrodynamics
quantum field theory
quantum mechanics
quantum optics
relatedConcept Bohr radius
Planck constant h
linked to: Planck constant

fine-structure constant
quantum of action
relatedTo Planck constant
symbolFor reduced Planck constant
usedIn Planck units
definition of atomic units
natural units
usedToExpress energy-time uncertainty
position-momentum uncertainty

How these facts were elicited

Referenced by (1)

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