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 TMF, 1978, Volume 37, Number 1, Pages 48–57 (Mi tmf3096)

Theory of multichannel scattering in two spaces

D. R. Yafaev

Abstract: It is shown that the description of scattering for a three-particle system can be presented in the framework of abstract scattering theory for a pair of spaces.

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English version:
Theoretical and Mathematical Physics, 1978, 37:1, 867–874

Bibliographic databases:

Citation: D. R. Yafaev, “Theory of multichannel scattering in two spaces”, TMF, 37:1 (1978), 48–57; Theoret. and Math. Phys., 37:1 (1978), 867–874

Citation in format AMSBIB
\Bibitem{Yaf78} \by D.~R.~Yafaev \paper Theory of multichannel scattering in two spaces \jour TMF \yr 1978 \vol 37 \issue 1 \pages 48--57 \mathnet{http://mi.mathnet.ru/tmf3096} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=514135} \transl \jour Theoret. and Math. Phys. \yr 1978 \vol 37 \issue 1 \pages 867--874 \crossref{https://doi.org/10.1007/BF01036286} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. E. L. Korotyaev, “Factorization of three-particle $S$ matrix at high energies”, Theoret. and Math. Phys., 63:3 (1985), 584–588
2. E. L. Korotyaev, “Scattering theory for a three-particle system with two-body interactions periodic in time”, Theoret. and Math. Phys., 62:2 (1985), 163–171
3. E. L. Korotyaev, “On the scattering theory of several particles in an external electric field”, Math. USSR-Sb., 60:1 (1988), 177–196
4. E. L. Korotyaev, “Resonance scattering in a pair of spaces”, Theoret. and Math. Phys., 70:3 (1987), 304–312
5. E. L. Korotyaev, “Dynamic stark effect in a three-particle system”, Theoret. and Math. Phys., 79:1 (1989), 413–424
6. Yu. V. Zhukov, R. A. Minlos, “Spectrum and scattering in a model “spin-boson” with at most three photons”, Theoret. and Math. Phys., 103:1 (1995), 398–411
7. Yu. V. Zhukov, R. A. Minlos, “The three-particle problem in a model of light radiation”, Russian Math. Surveys, 50:2 (1995), 455–456
8. A. K. Motovilov, “Representations for three-body $T$-matrix on unphysical sheets. I”, Theoret. and Math. Phys., 107:3 (1996), 784–806
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