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advanced_tools:quantization [2018/05/17 06:05]
jakobadmin [Why is it interesting?]
advanced_tools:quantization [2022/06/12 06:02] (current)
192.154.255.53 [Intuitive]
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
-Quantization ​is a phenomenon where the constraints of the physical system have the effect that some physical quantity only appears in discrete jumps, while all values in between physically forbidden. ​+Sometimes when people talk about ``quantization",​ what they really mean is //​discretization//,​ i.e., a phenomenon where the constraints of the physical system have the effect that some physical quantity only appears in discrete jumps, while all values in between ​are physically forbidden. ​
  
 The easiest example is a rope that is held under constant tension by two hands: The easiest example is a rope that is held under constant tension by two hands:
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-A nice summary can be found in [[https://​arxiv.org/​abs/​math-ph/​0405065|Quantization Methods: A Guide for Physicists and Analysts]] by S. Twareque Ali, Miroslav Engliš. See also [[https://​arxiv.org/​abs/​math-ph/​9809011|Obstructions to Quantization]] by Mark J. Gotay and Landsman, N.P.: Mathematical topics between classical and quantum mechanics. Springer Monographs in Mathematics. Springer-Verlag,​ New York, 1998.+  * A nice summary can be found in [[https://​arxiv.org/​abs/​math-ph/​0405065|Quantization Methods: A Guide for Physicists and Analysts]] by S. Twareque Ali, Miroslav Engliš. 
 +  *  ​See also [[https://​arxiv.org/​abs/​math-ph/​9809011|Obstructions to Quantization]] by Mark J. Gotay and Landsman, N.P.: Mathematical topics between classical and quantum mechanics. Springer Monographs in Mathematics. Springer-Verlag,​ New York, 1998. 
 +  * and the book Quantization of Gauge Systems by Henneaux and Teitelboim
  
 -->​Canonical Quantization#​ -->​Canonical Quantization#​
advanced_tools/quantization.1526529934.txt.gz · Last modified: 2018/05/17 04:05 (external edit)