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- Spin–statistics_theorem abstract "In quantum mechanics, the spin–statistics theorem relates the spin of a particle to the particle statistics it obeys. The spin of a particle is its intrinsic angular momentum (that is, the contribution to the total angular momentum which is not due to the orbital motion of the particle). All particles[citation needed] have either integer spin or half-integer spin (in units of the reduced Planck constant ħ).The theorem states that: the wave function of a system of identical integer-spin particles has the same value when the positions of any two particles are swapped. Particles with wave functions symmetric under exchange are called bosons; the wave function of a system of identical half-integer spin particles changes sign when two particles are swapped. Particles with wave functions antisymmetric under exchange are called fermions.In other words, the spin–statistics theorem states that integer spin particles are bosons, while half-integer spin particles are fermions.The spin–statistics relation was first formulated in 1939 by Markus Fierz, and was rederived in a more systematic way by Wolfgang Pauli. Fierz and Pauli argued by enumerating all free field theories, requiring that there should be quadratic forms for locally commuting observables including a positive definite energy density. A more conceptual argument was provided by Julian Schwinger in 1950. Richard Feynman gave a demonstration by demanding unitarity for scattering as an external potential is varied, which when translated to field language is a condition on the quadratic operator that couples to the potential.".
- Spin–statistics_theorem wikiPageID "352827".
- Spin–statistics_theorem wikiPageRevisionID "597163893".
- Spin–statistics_theorem subject Category:Articles_containing_proofs.
- Spin–statistics_theorem subject Category:Particle_statistics.
- Spin–statistics_theorem subject Category:Quantum_field_theory.
- Spin–statistics_theorem subject Category:Quantum_mechanics.
- Spin–statistics_theorem subject Category:Statistical_mechanics_theorems.
- Spin–statistics_theorem subject Category:Theorems_in_quantum_physics.
- Spin–statistics_theorem comment "In quantum mechanics, the spin–statistics theorem relates the spin of a particle to the particle statistics it obeys. The spin of a particle is its intrinsic angular momentum (that is, the contribution to the total angular momentum which is not due to the orbital motion of the particle).".
- Spin–statistics_theorem label "Spin-Statistik-Theorem".
- Spin–statistics_theorem label "Spin–statistics theorem".
- Spin–statistics_theorem label "Teorema da estatística do spin".
- Spin–statistics_theorem label "Teorema de la estadística del espín".
- Spin–statistics_theorem label "Teorema spin-statistica".
- Spin–statistics_theorem label "Théorème spin-statistique".
- Spin–statistics_theorem label "Twierdzenie o związku spinu ze statystyką".
- Spin–statistics_theorem label "Теорема Паули".
- Spin–statistics_theorem label "スピン統計定理".
- Spin–statistics_theorem label "自旋統計定理".
- Spin–statistics_theorem sameAs Spin%E2%80%93statistics_theorem.
- Spin–statistics_theorem sameAs Spin-Statistik-Theorem.
- Spin–statistics_theorem sameAs Teorema_de_la_estadística_del_espín.
- Spin–statistics_theorem sameAs Théorème_spin-statistique.
- Spin–statistics_theorem sameAs Teorema_spin-statistica.
- Spin–statistics_theorem sameAs スピン統計定理.
- Spin–statistics_theorem sameAs Twierdzenie_o_związku_spinu_ze_statystyką.
- Spin–statistics_theorem sameAs Teorema_da_estatística_do_spin.
- Spin–statistics_theorem sameAs Q523876.
- Spin–statistics_theorem sameAs Q523876.
- Spin–statistics_theorem wasDerivedFrom Spin–statistics_theorem?oldid=597163893.