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theorems:spin_statistics_theorem [2018/04/09 10:55] tesmitekle |
theorems:spin_statistics_theorem [2018/04/09 13:12] (current) jakobadmin [Concrete] |
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<tabbox Concrete> | <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 | * http://math.ucr.edu/home/baez/spin_stat.html | ||
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<tabbox Why is it interesting?> | <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. | 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> | </tabbox> | ||