Pauli exclusion principle
E31547
The Pauli exclusion principle is a fundamental quantum rule stating that no two identical fermions can occupy the same quantum state simultaneously, underpinning the structure of atoms and the behavior of matter.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Pauli principle | 1 |
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
fermion rule
ⓘ
physical law ⓘ principle of quantum mechanics ⓘ |
| appliesIn |
astrophysics
ⓘ
atomic physics ⓘ condensed matter physics ⓘ nuclear physics ⓘ |
| appliesTo | fermion ⓘ |
| category |
fermion statistics rule
ⓘ
quantum mechanical principle ⓘ |
| concernsProperty |
indistinguishability of particles
ⓘ
quantum state ⓘ spin ⓘ |
| contrastsWith |
Bose–Einstein statistics
ⓘ
bosonic occupation of same state by many particles ⓘ |
| doesNotApplyTo | boson ⓘ |
| formulatedBy | Wolfgang Pauli ⓘ |
| formulationYear | 1925 ⓘ |
| hasConsequence |
Fermi–Dirac statistics
ⓘ
band structure in solids ⓘ degeneracy pressure in neutron stars ⓘ degeneracy pressure in white dwarfs ⓘ electronic shell structure of atoms ⓘ periodic table structure ⓘ stability of ordinary matter ⓘ |
| holdsFor |
any half-integer spin particle
ⓘ
electrons ⓘ neutrons ⓘ protons ⓘ quarks ⓘ |
| implies | antisymmetric total wavefunction for identical fermions ⓘ |
| isBasisFor |
Fermi gas
ⓘ
surface form:
Fermi gas model
explanation of chemical valence ⓘ explanation of periodic trends ⓘ shell model of the atom ⓘ |
| mathematicalForm | antisymmetry of many-fermion wavefunction under particle exchange ⓘ |
| namedAfter | Wolfgang Pauli ⓘ |
| relatedTo |
Fermi–Dirac statistics
ⓘ
surface form:
Fermi–Dirac distribution
atomic orbitals ⓘ electron configuration ⓘ spin–statistics theorem ⓘ |
| requires | unique set of quantum numbers for each electron in an atom ⓘ |
| states | no two identical fermions can occupy the same quantum state simultaneously ⓘ |
| usedIn |
Hartree–Fock method
ⓘ
density functional theory ⓘ solid-state band calculations ⓘ |
Referenced by (8)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
boson
this entity surface form:
Pauli principle