User Tools

Site Tools


advanced_tools:quantization

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
advanced_tools:quantization [2018/05/05 16:59]
jakobadmin [Intuitive]
advanced_tools:quantization [2018/10/11 13:25] (current)
jakobadmin [Abstract]
Line 13: Line 13:
 The thing is, no matter how the two hands try to make the rope vibrate, the rope will only vibrate with a quantized set of modes. The two hands fix the rope at both ends. As a result of this constraint, the rope can only vibrate with fixed frequencies. The frequencies between this fixed set of frequencies are physically impossible: The thing is, no matter how the two hands try to make the rope vibrate, the rope will only vibrate with a quantized set of modes. The two hands fix the rope at both ends. As a result of this constraint, the rope can only vibrate with fixed frequencies. The frequencies between this fixed set of frequencies are physically impossible:
  
-{{ :​advanced_tools:​quantizationnot.png?​nolink |}}+{{ :​advanced_tools:​quantizationnot.png?​nolink&​400 ​|}}
  
 {{ :​advanced_tools:​quantization-box.png?​nolink&​400|}} {{ :​advanced_tools:​quantization-box.png?​nolink&​400|}}
Line 218: Line 218:
  
  
-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#​
Line 408: Line 410:
  
 ---- ----
 +
 +<​blockquote>​Quantization is an art form which, when applied to classical physical theories, yields predictions of subatomic behavior which are in spectacular agreement with experiments.
 +<​cite>​[[https://​arxiv.org/​abs/​alg-geom/​9705010|Ron Y. Donagi]]</​cite>​
 +</​blockquote>​
 +
  
 <​blockquote>​ <​blockquote>​
advanced_tools/quantization.1525532344.txt.gz · Last modified: 2018/05/05 14:59 (external edit)