"행렬 역학"의 두 판 사이의 차이

수학노트
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보어 모형
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보어-좀머펠트 양자 조건
  
 
correspondence principle
 
correspondence principle
  
 
 
 
 
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* http://www.eolss.net/Sample-Chapters/C05/E6-06B-09-00.pdf
  
 
 
 
 
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<math>\nu_{mn}=-\nu_{nm}</math>
 
<math>\nu_{mn}=-\nu_{nm}</math>
  
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<math>q_{mn}=q_{nm}^{*}</math>
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<math>m \neq n</math> 이면, <math>\nu_{mn}\neq 0</math>
  
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<math>\nu_{rs}+\nu_{st}=\nu_{rt}</math>
  
 
 
 
 
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<h5>2</h5>
 
<h5>2</h5>
  
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* Born-Jordan condition
 
* <math>[Q,P] = Q P - P Q = i \hbar</math>
 
* <math>[Q,P] = Q P - P Q = i \hbar</math>
  
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<h5 style="margin: 0px; line-height: 2em;">3</h5>
 
<h5 style="margin: 0px; line-height: 2em;">3</h5>
  
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* <math>\dot{Q}_i=\partial H/\partial P</math><br>
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* d<br><math>\dot{Q}_i=\partial H/\partial P</math><br>
 
* <math>\dot{P}=-\partial H/\partial Q</math><br>
 
* <math>\dot{P}=-\partial H/\partial Q</math><br>
  
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On the other hand, matrix mechanics was invented by Heisenberg in June 1925, and presented in a fully developed form in Dirac’s first paper on quantum mechanics (received 7 November 1925) and also in the famous “three-men’s paper” of Born, Heisenberg and Jordan (received 16 November 1925).
 
On the other hand, matrix mechanics was invented by Heisenberg in June 1925, and presented in a fully developed form in Dirac’s first paper on quantum mechanics (received 7 November 1925) and also in the famous “three-men’s paper” of Born, Heisenberg and Jordan (received 16 November 1925).
  
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* [http://www.worldscibooks.com/etextbook/7271/7271_chap02.pdf ]http://www.worldscibooks.com/etextbook/7271/7271_chap02.pdf
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* http://www.worldscibooks.com/etextbook/7271/7271_chap02.pdf
 
* [http://dialnet.unirioja.es/servlet/fichero_articulo?codigo=2735593 A brief history of the mathematical equivalence between the two quantum mechanics]
 
* [http://dialnet.unirioja.es/servlet/fichero_articulo?codigo=2735593 A brief history of the mathematical equivalence between the two quantum mechanics]
 
* [http://philsci-archive.pitt.edu/3658/ Why were two theories (Matrix Mechanics and Wave Mechanics) deemed logically distinct, and yet equivalent, in Quantum Mechanics?]
 
* [http://philsci-archive.pitt.edu/3658/ Why were two theories (Matrix Mechanics and Wave Mechanics) deemed logically distinct, and yet equivalent, in Quantum Mechanics?]

2012년 6월 7일 (목) 03:31 판

이 항목의 수학노트 원문주소

 

 

개요

 

보어-좀머펠트 양자 조건

correspondence principle

 

 

 

1

\(Q=\left(q_{mn}e^{2\pi it\nu_{mn}}\right)\)

\(P=\left(p_{mn}e^{2\pi it\nu_{mn}}\right)\)

\(q_{mn},p_{mn}\) : amplitudes

\(\nu_{mn}\) : frequency

\(q_{mn}=q_{nm}^{*}\)

\(p_{mn}=q_{nm}^{*}\)

\(\nu_{mn}=-\nu_{nm}\)

\(m \neq n\) 이면, \(\nu_{mn}\neq 0\)

\(\nu_{rs}+\nu_{st}=\nu_{rt}\)

 

2
  • Born-Jordan condition
  • \([Q,P] = Q P - P Q = i \hbar\)

 

 

3
  • d
    \(\dot{Q}_i=\partial H/\partial P\)
  • \(\dot{P}=-\partial H/\partial Q\)

 

 

4

 

 

 

역사

 

 

메모

On the other hand, matrix mechanics was invented by Heisenberg in June 1925, and presented in a fully developed form in Dirac’s first paper on quantum mechanics (received 7 November 1925) and also in the famous “three-men’s paper” of Born, Heisenberg and Jordan (received 16 November 1925).

 

 

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