Particle statistics

Particle statistics governs how quantum particles occupy states and how multiparticle states behave under exchange. Identical bosons have symmetric states, while identical fermions have antisymmetric states.

Bose–Einstein statistics: The statistical distribution describing identical bosons occupying quantum states. Symmetric exchange states allow multiple bosons to occupy the same state.
Identical particles: Particles of the same species whose quantum states cannot distinguish individual members. Indistinguishability makes exchanging particles a physical symmetry rather than relabeling.
Degenerate matter: Matter whose pressure or other properties are governed by quantum state occupancy rather than thermal motion alone. Fermion statistics supplies pressure even when a stellar object is extremely cold.
Maxwell–Boltzmann statistics: The classical distribution for distinguishable particles in the dilute, high-temperature limit. It approximates quantum statistics when state occupancies are low and exchange effects negligible.
Fermi–Dirac statistics: The statistical distribution describing identical fermions occupying quantum states. Antisymmetric exchange states limit each single-particle state to one fermion.
Quantum state: A mathematical description containing the probabilities for a quantum system's measurement outcomes. Particle statistics constrains the states available to systems of identical particles.
White dwarf: A compact stellar remnant supported against gravity primarily by electron degeneracy pressure. Its stability is a macroscopic consequence of electron exclusion.
Anyons: Quasiparticles in two dimensions whose exchange can produce phases other than the bosonic or fermionic signs. They demonstrate that exchange behavior can extend beyond the usual three-dimensional alternatives.
Pauli exclusion principle: The rule that identical fermions cannot occupy the same quantum state. It is the occupation constraint imposed by fermionic antisymmetry.
Spin–statistics theorem: The theorem linking integer spin to bosonic statistics and half-integer spin to fermionic statistics in relativistic quantum field theory. It connects a particle's intrinsic angular momentum to its exchange behavior.

Linked from 2 pages

List of particlesRelated: Statistics distinguish the behavior of the catalog’s fermions from its bosons.