"Finite size effect"의 두 판 사이의 차이

수학노트
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imported>Pythagoras0
1번째 줄: 1번째 줄:
<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5>
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==introduction==
  
* Casimir effect in [[QED]] is one example of finite size effect
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* Casimir effect in [[QED]] is one example of finite size effect
* the stress on the bounding surfaces when quantum field is confined to finite volume of space
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* the stress on the bounding surfaces when quantum field is confined to finite volume of space
 
*  type of boundaries<br>
 
*  type of boundaries<br>
 
** real material media
 
** real material media
 
** interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region
 
** interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region
 
** topology of space
 
** topology of space
* the boundaries restrict the modes of the quantum fields 
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* the boundaries restrict the modes of the quantum fields
 
* give rise to measurable and important forces
 
* give rise to measurable and important forces
  
 
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<h5>how to compute the Casimir effect</h5>
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==how to compute the Casimir effect==
  
 
*  zero-point energy in the presence of the boundaries<br>
 
*  zero-point energy in the presence of the boundaries<br>
 
** sum over all modes
 
** sum over all modes
**  any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity<br>
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**  any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity<br>
** In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin
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** In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin
 
** there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular
 
** there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular
 
*  Green's functions method<br>
 
*  Green's functions method<br>
 
** represents the vacuum expectation value of the produc of fields
 
** represents the vacuum expectation value of the produc of fields
  
 
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<h5>QFT interpretation of the Casimir effect</h5>
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==QFT interpretation of the Casimir effect==
  
*  
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*
  
 
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<h5 style="line-height: 2em; margin: 0px;">related items</h5>
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==related items==
  
 
* [[cosmological constant]]<br>
 
* [[cosmological constant]]<br>
 
* [[#]]<br>
 
* [[#]]<br>
  
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">표준적인 도서 및 추천도서</h5>
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==표준적인 도서 및 추천도서==
  
 
* [[2009년 books and articles|찾아볼 수학책]]
 
* [[2009년 books and articles|찾아볼 수학책]]
60번째 줄: 60번째 줄:
 
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
 
* http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
  
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">encyclopedia</h5>
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==encyclopedia==
  
 
* [http://ko.wikipedia.org/wiki/%EC%B9%B4%EC%8B%9C%EB%AF%B8%EB%A5%B4%ED%9A%A8%EA%B3%BC http://ko.wikipedia.org/wiki/카시미르효과]
 
* [http://ko.wikipedia.org/wiki/%EC%B9%B4%EC%8B%9C%EB%AF%B8%EB%A5%B4%ED%9A%A8%EA%B3%BC http://ko.wikipedia.org/wiki/카시미르효과]
72번째 줄: 72번째 줄:
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
  
 
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<h5>articles</h5>
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==articles==
  
 
* [http://dx.doi.org/10.1103/PhysRevLett.56.746 Universal term in the free energy at a critical point and the conformal anomaly]<br>
 
* [http://dx.doi.org/10.1103/PhysRevLett.56.746 Universal term in the free energy at a critical point and the conformal anomaly]<br>
90번째 줄: 90번째 줄:
 
* http://dx.doi.org/10.1103/PhysRevLett.56.746
 
* http://dx.doi.org/10.1103/PhysRevLett.56.746
  
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">블로그</h5>
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==블로그==
  
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=casimir+effect
 
* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=casimir+effect
 
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
 
* 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=
  
 
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">TeX 작업</h5>
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==TeX 작업==

2012년 10월 27일 (토) 14:58 판

introduction

  • Casimir effect in QED is one example of finite size effect
  • the stress on the bounding surfaces when quantum field is confined to finite volume of space
  • type of boundaries
    • real material media
    • interface between two different phases of the vacuum of a field theory such as QCD, in which case colored field may only exist in the interior region
    • topology of space
  • the boundaries restrict the modes of the quantum fields
  • give rise to measurable and important forces



how to compute the Casimir effect

  • zero-point energy in the presence of the boundaries
    • sum over all modes
    • any kind of constraint or boudary conditions on the the zero-point modes of the quantum fields in question, including backgrounds such as gravity
    • In a model without boundary conditions, the Hamiltonian value associated wih the vacuum or ground state, called zero-point energy, is usually discarded because, despite being infinite, may be reabsorbed in a suitable redefinition of the energy origin
    • there are several ways to put such an adjustment into practice, normal ordering being oneof the most popular
  • Green's functions method
    • represents the vacuum expectation value of the produc of fields



QFT interpretation of the Casimir effect



related items



표준적인 도서 및 추천도서



encyclopedia



articles



블로그




TeX 작업