====== Spin-Statistics Theorem ======


<tabbox Intuitive> 

<note tip>
Explanations in this section should contain no formulas, but instead colloquial things like you would hear them during a coffee break or at a cocktail party.
</note>
  
<tabbox Concrete> 
<diagram>
| AA|| BB |AA=particles with half-integer spin|BB=particles with integer spin
| |!@4| | | | !@4| |
| AA|| BB |AA=Fermi-Dirac statistics|BB=Bose-Einstein statistics
</diagram>

----

  * http://math.ucr.edu/home/baez/spin_stat.html
  * [[https://ejde.math.txstate.edu/conf-proc/04/w1/wightman.pdf|The spin-statistics connection: Some pedagogical remarks in response to Neuenschwander’s question]] by A. S. Wightman
  * A nice book on the topic is Pauli And The Spin-Statistics Theorem by Ian Duck, E.C.G. Sudarshan
 
<tabbox Abstract> 

  * The standard reference is the book PCT, Spin and Statistics, and All That by Raymond F. Streater,

<tabbox Why is it interesting?> 
The spin-statistics theorem tells us that there can be never two identical fermions in the same state (they anticommute), while there can be arbitrarily many identical bosons.
<tabbox FAQ>

-->Why are anticommutators needed in quantization of Dirac fields?#
see https://physics.stackexchange.com/questions/17893/why-are-anticommutators-needed-in-quantization-of-dirac-fields
<--
</tabbox>