S-matrix or scattering matrix
http://bomber0.myid.net/ (토론)님의 2011년 6월 8일 (수) 06:18 판 (피타고라스님이 이 페이지의 위치를 <a href="/pages/5791541">0 fundamental concepts and tools for integrable systems</a>페이지로 이동하였습니다.)
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 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
properties
- 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.
- 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/
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
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blogs
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experts on the field