theorems:spin_statistics_theorem
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theorems:spin_statistics_theorem [2018/04/09 10:54] tesmitekle ↷ Page moved from advanced_notions:spin_statistics_theorem to theorems:spin_statistics_theorem |
theorems:spin_statistics_theorem [2018/04/09 13:12] (current) jakobadmin [Concrete] |
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| ====== Spin-Statistics Theorem ====== | ====== Spin-Statistics Theorem ====== | ||
| - | <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 Intuitive> |
| - | <tabbox Layman> | + | |
| <note tip> | <note tip> | ||
| Line 9: | Line 8: | ||
| </note> | </note> | ||
| | | ||
| - | <tabbox Student> | + | <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 | ||
| Line 15: | Line 21: | ||
| * A nice book on the topic is Pauli And The Spin-Statistics Theorem by Ian Duck, E.C.G. Sudarshan | * A nice book on the topic is Pauli And The Spin-Statistics Theorem by Ian Duck, E.C.G. Sudarshan | ||
| - | <tabbox Researcher> | + | <tabbox Abstract> |
| * The standard reference is the book PCT, Spin and Statistics, and All That by Raymond F. Streater, | * The standard reference is the book PCT, Spin and Statistics, and All That by Raymond F. Streater, | ||
| - | --> Common Question 1# | + | <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 | ||
| <-- | <-- | ||
| - | |||
| - | --> Common Question 2# | ||
| - | |||
| - | |||
| - | <-- | ||
| - | | ||
| - | <tabbox Examples> | ||
| - | |||
| - | --> Example1# | ||
| - | |||
| - | |||
| - | <-- | ||
| - | |||
| - | --> Example2:# | ||
| - | |||
| - | |||
| - | <-- | ||
| - | | ||
| - | <tabbox History> | ||
| - | |||
| </tabbox> | </tabbox> | ||
theorems/spin_statistics_theorem.1523264099.txt.gz · Last modified: 2018/04/09 08:55 (external edit)
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