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theorems:spin_statistics_theorem [2017/10/22 18:32]
jakobadmin created
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?> ​ 
  
-<​tabbox ​Layman+<​tabbox ​Intuitive
  
 <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
   * [[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   * [[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   * 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.1508689948.txt.gz · Last modified: 2017/12/04 08:01 (external edit)