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.
Aliases (3)
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
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|
| namedAfter |
Albert Einstein
→
Satyendra Nath Bose → |
| partOf |
quantum theory of many-body systems
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|
| reducesTo |
Maxwell–Boltzmann statistics in classical limit
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|
| 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
→
|