"S-matrix or scattering matrix"의 두 판 사이의 차이
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| 8번째 줄: | 8번째 줄: | ||
| + | |||
| + | <h5>probability amplitude</h5> | ||
* probability amplitude from initial states to final states | * probability amplitude from initial states to final states | ||
| 23번째 줄: | 25번째 줄: | ||
| − | <h5> | + | <h5>S-matrix</h5> |
| + | * functions of complex rapidity difference \theta | ||
* unitarity | * unitarity | ||
* crossing-symmetry | * crossing-symmetry | ||
| 88번째 줄: | 91번째 줄: | ||
* Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. <em>1104.2474</em> (4월 13). http://arxiv.org/abs/1104.2474. | * Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. <em>1104.2474</em> (4월 13). http://arxiv.org/abs/1104.2474. | ||
* Patrick Dorey, 1998, [http://arxiv.org/abs/hep-th/9810026 Exact S-matrices] | * Patrick Dorey, 1998, [http://arxiv.org/abs/hep-th/9810026 Exact S-matrices] | ||
| − | |||
| − | |||
| 98번째 줄: | 99번째 줄: | ||
* Braden, H. W., E. Corrigan, P. E. Dorey, 와/과R. Sasaki. 1990. “Affine Toda field theory and exact S-matrices”. <em>Nuclear Physics B</em> 338 (3) (7월 16): 689-746. doi:[http://dx.doi.org/10.1016/0550-3213%2890%2990648-W 16/0550-3213(90)90648-W].<br> | * Braden, H. W., E. Corrigan, P. E. Dorey, 와/과R. Sasaki. 1990. “Affine Toda field theory and exact S-matrices”. <em>Nuclear Physics B</em> 338 (3) (7월 16): 689-746. doi:[http://dx.doi.org/10.1016/0550-3213%2890%2990648-W 16/0550-3213(90)90648-W].<br> | ||
| − | * Goebel, Charles J. 1986. “On the Sine-Gordon <em>S</em> Matrix”. <em>Progress of Theoretical Physics Supplement</em> 86: 261-273. doi:10.1143/PTPS.86.261.<br> | + | * Goebel, Charles J. 1986. “On the Sine-Gordon <em>S</em> Matrix”. <em>Progress of Theoretical Physics Supplement</em> 86: 261-273. doi:[http://dx.doi.org/10.1143/PTPS.86.261 10.1143/PTPS.86.261]<br> |
* A. B. Zamolodchikov, 1977, [http://dx.doi.org/10.1007/BF01626520 Exact two-particle S-matrix of quantum sine-Gordon solitons]<br> | * A. B. Zamolodchikov, 1977, [http://dx.doi.org/10.1007/BF01626520 Exact two-particle S-matrix of quantum sine-Gordon solitons]<br> | ||
* http://www.ams.org/mathscinet | * http://www.ams.org/mathscinet | ||
| 106번째 줄: | 107번째 줄: | ||
* http://pythagoras0.springnote.com/ | * http://pythagoras0.springnote.com/ | ||
* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | * [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | ||
| − | * http://dx.doi.org/ | + | * http://dx.doi.org/10.1143/PTPS.86.261 |
2011년 6월 8일 (수) 06:41 판
introduction
- transition amplitude are too hard to calculate from the theory, except in infinite time limits
- those limits are the entries of the S-matrix
- typical way to compute S-matrix entries is using correlation functions and Ward identity
probability amplitude
- probability amplitude from initial states to final states
- Feynman diagram is a tool to compute the probability amplitudes.
- transition amplitude
- scattering amplitude
- computation of S-matrix (S = Scattering)
- cross section
- these are important because they are physically measurable quantity
- similar to correlation functions in Conformal Field Theory
- look at correlation functions and Ward identity page
S-matrix
- functions of complex rapidity difference \theta
- unitarity
- crossing-symmetry
exact S-matrices
history
encyclopedia
- http://en.wikipedia.org/wiki/S-matrix
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Torrielli, Alessandro. 2011. “Yangians, S-matrices and AdS/CFT”. 1104.2474 (4월 13). http://arxiv.org/abs/1104.2474.
- Patrick Dorey, 1998, Exact S-matrices
articles
- Braden, H. W., E. Corrigan, P. E. Dorey, 와/과R. Sasaki. 1990. “Affine Toda field theory and exact S-matrices”. Nuclear Physics B 338 (3) (7월 16): 689-746. doi:16/0550-3213(90)90648-W.
- Goebel, Charles J. 1986. “On the Sine-Gordon S Matrix”. Progress of Theoretical Physics Supplement 86: 261-273. doi:10.1143/PTPS.86.261
- A. B. Zamolodchikov, 1977, Exact two-particle S-matrix of quantum sine-Gordon solitons
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/10.1143/PTPS.86.261
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
- http://math.stackexchange.com/search?q=
- http://physics.stackexchange.com/search?q=
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field