Abstract:
For quantum completely integrable models with an infinite number of degrees of freedom, such as vector nonlinear Schrödinger equations on the line, isotropic and anisotropic generalized Heisenberg ferromagnets, operators are constructed which satisfy the permutation relations of Zamolodchikov's algebra.
Citation:
P. P. Kulish, “Representation of the Zamolodchikov–Faddeev algebra”, Differential geometry, Lie groups and mechanics. Part IV, Zap. Nauchn. Sem. LOMI, 109, "Nauka", Leningrad. Otdel., Leningrad, 1981, 83–92; J. Soviet Math., 24:2 (1984), 208–215
\Bibitem{Kul81}
\by P.~P.~Kulish
\paper Representation of the Zamolodchikov--Faddeev algebra
\inbook Differential geometry, Lie groups and mechanics. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 109
\pages 83--92
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=629116}
\zmath{https://zbmath.org/?q=an:0532.47032|0473.47036}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 2
\pages 208--215
\crossref{https://doi.org/10.1007/BF01087242}
Linking options:
https://www.mathnet.ru/eng/znsl3920
https://www.mathnet.ru/eng/znsl/v109/p83
This publication is cited in the following 11 articles:
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Juan Miguel Nieto, Springer Theses, Spinning Strings and Correlation Functions in the AdS/CFT Correspondence, 2018, 93
Aristophanes Dimakis, Folkert Müller-Hoissen, “Simplex and Polygon Equations”, SIGMA, 11 (2015), 042, 49 pp.
“Osnovnye nauchnye trudy Petra Petrovicha Kulisha”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 23, Zap. nauchn. sem. POMI, 433, POMI, SPb., 2015, 8–19
N Crampe, E Ragoucy, M Vanicat, “Integrable approach to simple exclusion processes with boundaries. Review and progress”, J. Stat. Mech., 2014:11 (2014), P11032
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Gaetano Fiore, “On second quantization on noncommutative spaces with twisted symmetries”, J. Phys. A: Math. Theor., 43:15 (2010), 155401
Gaetano Fiore, Julius Wess, “Full twisted Poincaré symmetry and quantum field theory on Moyal-Weyl spaces”, Phys. Rev. D, 75:10 (2007)
Andrei G Bytsko, Anastasia Doikou, “Thermodynamics and conformal properties of XXZ chains with alternating spins”, J. Phys. A: Math. Gen., 37:16 (2004), 4465
M. Choulli, P. Stefanov, “Inverse scattering and inverse boundary value problems for the linear boltzmann equation”, Communications in Partial Differential Equations, 21:5-6 (1996), 763
F. A. Smirnov, “Quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model”, Theoret. and Math. Phys., 60:3 (1984), 871–880
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