"Finite size effect"의 두 판 사이의 차이
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* Casimir effect in [[QED]] is one example of finite size effect | * Casimir effect in [[QED]] is one example of finite size effect | ||
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** topology of space | ** topology of space | ||
* the boundaries restrict the modes of the quantum fields | * 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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* <math>z \to w=\frac{L}{2\pi}\ln z</math> | * <math>z \to w=\frac{L}{2\pi}\ln z</math> | ||
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* [[cosmological constant]]<br> | * [[cosmological constant]]<br> | ||
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* [[2009년 books and articles|찾아볼 수학책]] | * [[2009년 books and articles|찾아볼 수학책]] | ||
* [http://gigapedia.com/items:links?id=216868 The Casimir Effect: Physical Manifestations of Zero-Point Energy]<br> | * [http://gigapedia.com/items:links?id=216868 The Casimir Effect: Physical Manifestations of Zero-Point Energy]<br> | ||
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* [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] | ||
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* http://en.wikipedia.org/wiki/Vacuum_energy | * http://en.wikipedia.org/wiki/Vacuum_energy | ||
* http://en.wikipedia.org/wiki/ | * http://en.wikipedia.org/wiki/ | ||
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* 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=casimir+effect | * 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=casimir+effect | ||
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2010년 5월 4일 (화) 16:38 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
conformal transform from the plane to cylinder
- \(z \to w=\frac{L}{2\pi}\ln z\)
- energy momentum tensor changes
\(T_{cyl}(w)=(\frac{2\pi}{L})^2\{T_{pl}(z)z^2-\frac{c}{24}\}\)
\(L_0 \to L_0-c/24\) - the central charge emerges
- central charge is proportional to the Casimir energy, the change in the vacuum energy density brought about by the periodicity condition on the cylinder
표준적인 도서 및 추천도서
- 찾아볼 수학책
- The Casimir Effect: Physical Manifestations of Zero-Point Energy
- [1]Kimball A. Milton
- Conformal invariance and finite size effects in critical two dimensional statistical models
- Claude Itzykson
- Casimir effect in critical systems
- Michael Krech
- http://gigapedia.info/1/Casimir+effect
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
참고할만한 자료
- http://ko.wikipedia.org/wiki/카시미르효과
- http://en.wikipedia.org/wiki/finite_size_effect
- http://en.wikipedia.org/wiki/Casimir_effect
- http://en.wikipedia.org/wiki/Vacuum_energy
- http://en.wikipedia.org/wiki/
블로그
- 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=casimir+effect
- 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=