"Heisenberg group and Heisenberg algebra"의 두 판 사이의 차이

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<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">introduction</h5>
 
<h5 style="line-height: 3.428em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic', dotum, gulim, sans-serif; font-size: 1.166em; background-image: ; background-color: initial; background-position: 0px 100%;">introduction</h5>
  
<math>[p_i, q_j] = \delta_{ij}z</math><math>[p_i, z] = 0</math>
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*  start with a Lattice <math><\cdot,\cdot></math><br>
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*  make a vector space from it<br>
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* <math>[\alpha(m),\beta(n)]=m\delta_{m,-n}<\alpha,\beta>c</math><br>
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*  add a derivation <math>d</math><br><math>d(\alpha(n))=n\alpha(n)</math><br><math>d(c)=0</math><br>
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*  define a Lie bracket<br><math>[d,x]=d(x)</math><br>
  
<math>[q_j, z] = 0</math>
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<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">fock space representation</h5>
  
 
 
 
 
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<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">fock space representation</h5>
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<h5 style="line-height: 2em; margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px;">Representation theory</h5>
 
 
 
 
  
 
 
 
 

2009년 8월 13일 (목) 01:38 판

introduction
  • start with a Lattice \(<\cdot,\cdot>\)
  • make a vector space from it
  • \([\alpha(m),\beta(n)]=m\delta_{m,-n}<\alpha,\beta>c\)
  • add a derivation \(d\)
    \(d(\alpha(n))=n\alpha(n)\)
    \(d(c)=0\)
  • define a Lie bracket
    \([d,x]=d(x)\)

 

 

fock space representation

 

 

Representation theory

 

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