Bose–Einstein statistics

E1602

concept in quantum mechanics concept in statistical mechanics quantum statistics statistical distribution

Bose–Einstein statistics is a quantum statistical framework that describes the distribution and collective behavior of indistinguishable bosons, underpinning phenomena such as Bose–Einstein condensation.

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All labels observed (4)

Label	Occurrences
Bose–Einstein statistics canonical	18
Bose–Einstein distribution	8
Bose–Einstein condensation	1
Derivation of Planck’s law using quantum statistics	1

Statements (49)

Predicate	Object
instanceOf	concept in quantum mechanics ⓘ concept in statistical mechanics ⓘ quantum statistics ⓘ statistical distribution ⓘ
allows	macroscopic occupation of ground state ⓘ
appliesTo	bosons ⓘ helium-4 atoms in superfluid phase ⓘ integer-spin particles ⓘ phonons ⓘ photons ⓘ
assumes	no restriction on number of particles per quantum state ⓘ symmetry of wavefunction under particle exchange ⓘ
basedOn	indistinguishability of particles ⓘ symmetrization of many-particle wavefunctions ⓘ
contrastsWith	Fermi–Dirac statistics ⓘ Maxwell–Boltzmann statistics ⓘ
derivedFrom	counting of microstates for indistinguishable bosons ⓘ
describes	collective behavior of bosons ⓘ distribution of indistinguishable bosons over energy states ⓘ
domain	equilibrium statistical mechanics ⓘ
field	theoretical physics ⓘ
hasParticleType	boson ⓘ
historicallyDevelopedBy	Satyendra Nath Bose ⓘ
historicallyExtendedBy	Albert Einstein ⓘ
influenced	development of quantum statistics ⓘ
mathematicallyDescribedBy	Bose–Einstein statistics self-linksurface differs ⓘ surface form: Bose–Einstein distribution
namedAfter	Albert Einstein ⓘ Satyendra Nath Bose ⓘ
partOf	quantum theory of many-body systems ⓘ
reducesTo	Maxwell–Boltzmann statistics in classical limit ⓘ
relatedConcept	Bose gas ⓘ Bose–Einstein condensate ⓘ grand canonical ensemble ⓘ
requires	quantum mechanical treatment of particles ⓘ
underpins	Bose–Einstein statistics self-linksurface differs ⓘ surface form: Bose–Einstein condensation coherence properties of laser light ⓘ superfluidity in liquid helium-4 ⓘ
usedIn	condensed matter physics ⓘ quantum field theory ⓘ statistical mechanics of photon gases ⓘ theory of blackbody radiation ⓘ theory of ultracold atomic gases ⓘ
usedToCalculate	occupation number of energy levels for bosons ⓘ
usedToExplain	Hanbury Brown and Twiss effect ⓘ Planck radiation law ⓘ photon bunching ⓘ
validInRegime	high phase-space density ⓘ low temperatures ⓘ
yearProposed	1924 ⓘ

Referenced by (28)

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

Albert Einstein → knownFor → Bose–Einstein statistics ⓘ

Bose–Einstein statistics → underpins → Bose–Einstein statistics self-linksurface differs ⓘ

this entity surface form: Bose–Einstein condensation

Bose–Einstein statistics → mathematicallyDescribedBy → Bose–Einstein statistics self-linksurface differs ⓘ

this entity surface form: Bose–Einstein distribution

Higgs boson → statistics → Bose–Einstein statistics ⓘ

Fermi–Dirac statistics → contrastsWith → Bose–Einstein statistics ⓘ

Satyendra Nath Bose → knownFor → Bose–Einstein statistics ⓘ

Satyendra Nath Bose → honouredIn → Bose–Einstein statistics ⓘ

Maxwell–Boltzmann statistics → contrastsWith → Bose–Einstein statistics ⓘ

Bose–Einstein condensate → hasTheoreticalBasis → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution

Hanbury Brown and Twiss effect → relatedTo → Bose–Einstein statistics ⓘ

Boltzmann constant → appearsIn → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution

Pauli exclusion principle → contrastsWith → Bose–Einstein statistics ⓘ

boson (particle type named after him) → follows → Bose–Einstein statistics ⓘ

subject surface form: boson

boson (particle type named after him) → obeys → Bose–Einstein statistics ⓘ

subject surface form: boson

this entity surface form: Bose–Einstein distribution

Boltzmann distribution → contrastsWith → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution

Satyendra → knownFor → Bose–Einstein statistics ⓘ

subject surface form: Satyendra Nath Bose

Satyendra → hasEponym → Bose–Einstein statistics ⓘ

subject surface form: Satyendra Nath Bose

Satyendra → notableWork → Bose–Einstein statistics ⓘ

subject surface form: Satyendra Nath Bose

this entity surface form: Derivation of Planck’s law using quantum statistics

Satyendra → notableConcept → Bose–Einstein statistics ⓘ

subject surface form: Satyendra Nath Bose

k_B → appearsInEquation → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution

Fermion → statisticsContrastsWith → Bose–Einstein statistics ⓘ

The Principles of Statistical Mechanics → subject → Bose–Einstein statistics ⓘ

spin–statistics theorem → isRelatedTo → Bose–Einstein statistics ⓘ

gluon → statistics → Bose–Einstein statistics ⓘ

subject surface form: glon

Bose gas → hasStatistics → Bose–Einstein statistics ⓘ

Bose gas → hasDistributionFunction → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution

Boson → obeys → Bose–Einstein statistics ⓘ

this entity surface form: Bose–Einstein distribution