Spin–statistics theorem

Spin-statistics theorem links particle spin to statistics

The spin-statistics theorem establishes a fundamental connection between the intrinsic spin of elementary particles and the statistical behavior of their collections. Particles with integer spin are classified as bosons, which follow Bose-Einstein statistics, while particles with half-integer spin are classified as fermions, which follow Fermi-Dirac statistics.

Example

Electrons (half-integer spin) obey Fermi-Dirac statistics and cannot occupy the same quantum state, leading to the Pauli exclusion principle.

Understanding this relationship is crucial for predicting the behavior of particles in various physical systems.

Related concepts

Fermi–Dirac statistics

Fermi-Dirac statistics govern fermions' energy distribution

Goldstone boson

Goldstone theorem states every spontaneously broken continuous symmetry produces a massless boson

Supersymmetry

Every fermion has a bosonic partner and vice versa

Spin (physics)

Spin is an intrinsic form of angular momentum carried by elementary particles

Asymptotic safety

Quarks interact more weakly at higher energies, earning the 2004 Nobel Prize

Bell's theorem

Bell's theorem disproves local hidden-variable theories

One email a day: 5 concepts + the 5 stories that matter →

Swipe through 100 ML concepts daily

Open TickerNews