Bose–Einstein statistics

E1602

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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AI-generated illustration of Bose–Einstein statistics

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Generate an image of Bose–Einstein statistics (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.)

All labels observed (5)

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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 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 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 ⓘ

How these facts were elicited

Referenced by (30)

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 condensation ⓘ
linked to: Bose–Einstein statistics
Bose–Einstein statistics → mathematicallyDescribedBy → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
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 ⓘ
Bose–Einstein condensate → hasTheoreticalBasis → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Hanbury Brown and Twiss effect → relatedTo → Bose–Einstein statistics ⓘ
Boltzmann constant → appearsIn → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Pauli exclusion principle → contrastsWith → Bose–Einstein statistics ⓘ
boson → follows → Bose–Einstein statistics ⓘ
boson → obeys → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Boltzmann distribution → contrastsWith → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Satyendra Nath Bose → knownFor → Bose–Einstein statistics ⓘ
subject linked to: Satyendra
Satyendra Nath Bose → hasEponym → Bose–Einstein statistics ⓘ
subject linked to: Satyendra
Satyendra Nath Bose → notableWork → Derivation of Planck’s law using quantum statistics ⓘ
subject linked to: Satyendra
linked to: Bose–Einstein statistics
Satyendra Nath Bose → notableConcept → Bose–Einstein statistics ⓘ
subject linked to: Satyendra
k_B → appearsInEquation → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Fermion → statisticsContrastsWith → Bose–Einstein statistics ⓘ
The Principles of Statistical Mechanics → subject → Bose–Einstein statistics ⓘ
spin–statistics theorem → isRelatedTo → Bose–Einstein statistics ⓘ
glon → statistics → Bose–Einstein statistics ⓘ
subject linked to: gluon
Bose gas → hasStatistics → Bose–Einstein statistics ⓘ
Bose gas → hasDistributionFunction → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
Boson → obeys → Bose–Einstein distribution ⓘ
linked to: Bose–Einstein statistics
helium-4 → bosonicStatistics → Bose–Einstein ⓘ
linked to: Bose–Einstein statistics
Statistical Mechanics (Pathria and Beale) → subject → Bose–Einstein statistics ⓘ