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

How this entity was disambiguated

Statements (48)

Predicate Object
instanceOf fundamental constant
physical constant
quantum constant
alsoKnownAs reduced Planck constant
surface form: Dirac constant

reduced Planck constant
appearsIn Bohr model of the atom
Dirac equation
uncertainty principle
surface form: 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
surface form: 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
surface form: Planck constant h

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.