"Finite size effect"의 두 판 사이의 차이
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| 45번째 줄: | 45번째 줄: | ||
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| − | + | * Kimball A. Milton [http://gigapedia.com/items:links?id=216868 The Casimir Effect: Physical Manifestations of Zero-Point Energy]<br> | |
| − | + | * Claude Itzykson [http://www.springerlink.com/content/f374835722j24555/ Conformal invariance and finite size effects in critical two dimensional statistical models] | |
| − | * [http://gigapedia.com/items:links?id=216868 The Casimir Effect: Physical Manifestations of Zero-Point Energy]<br> | + | * Michael Krech [http://www.amazon.com/Casimir-Effect-Critical-Systems/dp/9810218451 Casimir effect in critical systems] |
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| − | * [http://www.amazon.com/Casimir-Effect-Critical-Systems/dp/9810218451 Casimir effect in critical systems] | ||
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==articles== | ==articles== | ||
| − | * [http://dx.doi.org/10.1103/PhysRevLett.56.746 Universal term in the free energy at a critical point and the conformal anomaly] | + | * Ian Affleck [http://dx.doi.org/10.1103/PhysRevLett.56.746 Universal term in the free energy at a critical point and the conformal anomaly], Phys. Rev. Lett. 56, 746–748 (1986) |
| − | + | * ** H. W. J. Blöte, J. Cardy and M. P. Nightingale [http://dx.doi.org/10.1103/PhysRevLett.56.742 Conformal invariance, the central charge, and universal finite-size amplitudes at criticality], Phys. Rev. Lett. 56, 742–745 (1986) | |
| − | * [http://dx.doi.org/10.1103/PhysRevLett.56.742 Conformal invariance, the central charge, and universal finite-size amplitudes at criticality] | ||
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[[분류:개인노트]] | [[분류:개인노트]] | ||
[[Category:research topics]] | [[Category:research topics]] | ||
[[분류:Number theory and physics]] | [[분류:Number theory and physics]] | ||
2013년 2월 23일 (토) 06:26 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
books
- Kimball A. Milton The Casimir Effect: Physical Manifestations of Zero-Point Energy
- Claude Itzykson Conformal invariance and finite size effects in critical two dimensional statistical models
- Michael Krech Casimir effect in critical systems
encyclopedia
- 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
articles
- Ian Affleck Universal term in the free energy at a critical point and the conformal anomaly, Phys. Rev. Lett. 56, 746–748 (1986)
- ** H. W. J. Blöte, J. Cardy and M. P. Nightingale Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Phys. Rev. Lett. 56, 742–745 (1986)